I have a 1998 Infiniti I30 in really good condition except for this issue I've been experiencing lately with increasing frequency. What happens is, and there's no surefire way to reproduce the issue, but it won't start (no click, nothing), the doors won't unlock via the remote - basically I get nothing. That is, until I start messing with the headlights. Once I turn them on, 9/10 times the car starts up immediately with no issues, and the remote and everything else continues to work.
I have tried to reproduce this issue on a few occasions to my mechanic but was unsuccessful (always works that way hehe.)
Any pointers on how to solve this/narrow down what the cause is would be absolutely appreciated.