Im having a issue with my integra sometime it wont crank i thought it was main relay. and i have resoldered main relay laying in my trunk right now i tried it didnt work either. i ve tested the starter with wire to battery, it cranks but wont start. (cuz i had key in my pocket lol) and tested the starter signal wire with test light it glows a little but not full bright. and i ve noticed when i have dome and map light heater and headlights all on for at least 5 min it wont crank at all so i turned them off and waited for few min it will crank just fine there must be short in ignition somewhere i dont know how to catch that that gremlins batterys good starters good alternator are also good been having that issue with it since june or july the battery came out of my old mazda i was driving back in 2010 battery is still good i know it i promise 
it does have alarm system jack rigged i guess and it used to be automatic previous owner converrted it to 5 speed as well he might fukked up the bypass netural switch or something the car has been hacked alot wires for ecu looks horribly terrible too lol i dont want start looking through wires i might make it worse
Thank u guys i appericate for your help