Have you checked the charging system? Wahts volts at idle? Volts at 5000 RPM --- Stator check, pull connector... stator side connector, AB/BC/BA resistance, AB/BC/BA to ground, then AC volts on again AB/BC/BA - idle and 5000 rpms. See if you can do that.. Oh yeah.... Verify a good battery first under load. tested. and battery static volts?
(I've fixed my share of Honda charging systems...) Noticing you have an '01 F4i... around then Honda was going cheap on charging components and the R/Rs were junk...