Your information is very vague. Please explain exactly which part does what, and when it does it. ie...
"The interior fan stops blowing air throught the vents, then will start to work again. This is completely random and independant upon the instrument cluster settings, the outside ambient temp, or the temperature of the engine"
" the car hesitates when accelerating, but does not stall. It happens at different mph, there are no strange noises or air leaks from the engine, and the check engine light is not on."