Starter won't turn over until I jiggle the gearshift

It sounds to me like an electrical issue between your key and the starter. More than likely the car electrical problem is near the shifter area. I hope this helps.

Some of the possible reason or remedy may be: a)idle air control valve may have problem, to be repaired. b)air passage might be blocked with excessive carbon c)Sometimes proper cleanup and spray can remove the dirt and may be a tricky solution d) fuel injection system may be clogged, solenoid and catalytic converter may be blocked All these solutions may help you build enough fuel pressure to resolve start-up problem. Transmission repair services Vancouver http://www.apollomufflercentres.com

I have the same problem. When I direct wire the starter to battery it turns over but not with key. Therefore I suspect the park/neutral safety switch its located by the gear shift. The car thinks it's in drive or reverse therefore wont start