Hmm that is very odd. That ignition switch must not have been registering it being in neutral and without a green light or a grounded neutral wire it wont start with the push button.
This is a little weird, but I out a new key ignition on that was oem since it was smoother, and the e start works now? Could have been something with the wiring but it works now, so does the neutral light, weird but its fixed.