If the car is registered in NY, they shouldn't be able to hit you up for window tint. Registration, deal with it. Exhaust, you may be able to fight it dunno.
Ohio revised code concerning your questions:
4513.24.1] § 4513.241. Restrictions on use of tinted glass and other vision obscuring materials.
(A) The director of public safety, in accordance with Chapter 119. of the Revised Code, shall adopt rules governing the use of tinted glass, and the use of transparent, nontransparent, translucent, and reflectorized materials in or on motor vehicle windshields, side windows, sidewings, and rear windows that prevent a person of normal vision looking into the motor vehicle from seeing or identifying persons or objects inside the motor vehicle.
(B) The rules adopted under this section may provide for persons who meet either of the following qualifications:
(1) On November 11, 1994, or the effective date of any rule adopted under this section, own a motor vehicle that does not conform to the requirements of this section or of any rule adopted under this section;
(2) Establish residency in this state and are required to register a motor vehicle that does not conform to the requirements of this section or of any rule adopted under this section.
© No person shall operate, on any highway or other public or private property open to the public for vehicular travel or parking, lease, or rent any motor vehicle that is registered in this state unless the motor vehicle conforms to the requirements of this section and of any applicable rule adopted under this section.
(D) No person shall install in or on any motor vehicle, any glass or other material that fails to conform to the requirements of this section or of any rule adopted under this section.
(E) No used motor vehicle dealer or new motor vehicle dealer, as defined in section 4517.01 of the Revised Code, shall sell any motor vehicle that fails to conform to the requirements of this section or of any rule adopted under this section.
(F) No reflectorized materials shall be permitted upon or in any front windshield, side windows, sidewings, or rear window.
(G) This section does not apply to the manufacturer's tinting or glazing of motor vehicle windows or windshields that is otherwise in compliance with or permitted by federal motor vehicle safety standard number two hundred five.
(H) With regard to any side window behind a driver's seat or any rear window other than any window on an emergency door, this section does not apply to any school bus used to transport a handicapped child pursuant to a special education program under Chapter 3323. of the Revised Code, whom it is impossible or impractical to transport by regular school bus in the course of regular route transportation provided by a school district. As used in this division, "handicapped child" and "special education program" have the same meanings as in section 3323.01 of the Revised Code.
(I) This section does not apply to any school bus that is to be sold and operated outside this state.
(J) Whoever violates division ©, (D), (E), or (F) of this section is guilty of a minor misdemeanor.
4513.22. Mufflers; excessive smoke or gas.
(A) Every motor vehicle and motorcycle with an internal combustion engine shall at all times be equipped with a muffler which is in good working order and in constant operation to prevent excessive or unusual noise, and no person shall use a muffler cutout, by-pass, or similar device upon a motor vehicle on a highway. Every motorcycle muffler shall be equipped with baffle plates.
No person shall own, operate, or have in the person's possession any motor vehicle or motorcycle equipped with a device for producing excessive smoke or gas, or so equipped as to permit oil or any other chemical to flow into or upon the exhaust pipe or muffler of such vehicle, or equipped in any other way to produce or emit smoke or dangerous or annoying gases from any portion of such vehicle, other than the ordinary gases emitted by the exhaust of an internal combustion engine under normal operation.
(B) Whoever violates this section shall be punished as provided in section 4513.99 of the Revised Code.
4513.22.1] § 4513.221. Regulation of vehicle and engine noise in unincorporated areas.
(A) The board of county commissioners of any county, and the board of township trustees of any township subject to section 505.17 of the Revised Code, may regulate passenger car and motorcycle noise on streets and highways under their jurisdiction. Such regulations shall include maximum permissible noise limits measured in decibels, subject to the requirements of this section.
(B) Regulations establishing maximum permissible noise limits measured in decibels shall prohibit the operation, within the speed limits specified herein, of a passenger car or motorcycle of a type subject to registration at any time or under any condition of load, acceleration, or deceleration in such manner as to exceed the following maximum noise limits, based on a distance of not less than fifty feet from the center of the line of travel:
(1) For passenger cars:
(a) When operated at a speed of thirty-five miles per hour or less, a maximum noise limit of seventy decibels;
(b) When operated at a speed of more than thirty-five miles per hour, a maximum noise limit of seventy-nine decibels.
(2) For motorcycles:
(a) When operated at a speed of thirty-five miles per hour or less, a maximum noise limit of eighty-two decibels;
(b) When operated at a speed of more than thirty-five miles per hour, a maximum noise limit of eighty-six decibels.
© Maximum noise limits established pursuant to division (B) of this section shall be measured on the "A" scale of a standard sound level meter meeting the applicable requirements for a type 2 sound level meter as defined in American national standards institute standard S1.4 - 1983, or the most recent revision thereof. Measurement practices shall be in substantial conformity with standards and recommended practice established by the society of automotive engineers, including SAE standard J 986 A NOV81, SAE standard J 366 MAR85, SAE standard J 331 A, and such other standards and practices as may be approved by the federal government.
(D) No regulation enacted under division (B) of this section shall be effective until signs giving notice of the regulation are posted upon or at the entrance to the highway or part thereof affected, as may be most appropriate.
(E) A board of county commissioners of any county may regulate noise from passenger cars, motorcycles, or other devices using internal combustion engines in the unincorporated area of the county, and a board of township trustees may regulate such noise in the unincorporated area of the township, in any of the following ways:
(1) By prohibiting operating or causing to be operated any motor vehicle, agricultural tractor, motorcycle, all-purpose vehicle, or snowmobile not equipped with a factory-installed muffler or equivalent muffler in good working order and in constant operation;
(2) By prohibiting the removing or rendering inoperative, or causing to be removed or rendered inoperative, other than for purposes of maintenance, repair, or replacement, of any muffler;
(3) By prohibiting the discharge into the open air of exhaust of any stationary or portable internal combustion engine except through a factory-installed muffler or equivalent muffler in good working order and in constant operation;
(4) By prohibiting racing the motor of any vehicle described in division (E)(1) of this section in such a manner that the exhaust system emits a loud, cracking, or chattering noise unusual to its normal operation.
(F) Whoever violates any maximum noise limit established as provided in division (B) of this section or any of the prohibitions authorized in division (E) of this section is guilty of a minor misdemeanor. Fines collected under this section by the county shall be paid into the county general fund, and such fines collected by the township shall be paid into the township general fund.
No regulation adopted under this section shall apply to commercial racetrack operations.