My 87 rx-7 non-turbo wont start for some reason. I started it up 2 days ago and let it run because its a storaged car. I tried starting her up today and nothing...It just clicks like a bad starter would. I ruled out the starter and the battery because the auto shop said they were good. I just recently noticed that my power is really weak. My flip up lights wont flip up and it even strugles to power the hazard lights... What could be the problem??

 

weak battery or connections by the sound of it.

Don't trust a shop to tell you your battery is fine. Although if they had half a brain they would have seen a battery sale walk out the door.