1. No, it doesn't. There may also be an ignition problem (cars can have more than one problem at a time) but the problem doesn't "have to be" in the ignition.
2. The ignition system on your car is stone-simple. Why is this guy standing there swearing about it instead of fixing it, if he's so sure that's where the problem is?
Pulled the plugs and noticed some gas on them. Could that be symptomatic of a loose timing chain
There is no timing belt. Guessing at random parts to be replaced is a sure-fire way to waste money. If you cool off and decide not to sell the car, step "number zero" (first thing) you need to do is learn how your car works. Get the three books described in this thread and start reading. Otherwise you're going to be at the mercy of clowns like the ones you described at that shop over and over and over and over without end.