bad miss; stutter; hiccup

[1993CivicVX]

Recently, my 1992 Civic VX started to have a stutter. Noticed it first at low rpms, now it does it at most all rpms, but definitely much worse at low rpms. It's gotten really bad that I don't want to drive the car. It seems to be worse when it's wet out, but now it's doing it all the time. When the engine is cold it does not do it at all. It's only when the motor has been up to temp for a bit that it starts to do it, so I would say it's temp related. It was also just now blowing white smoke. It's never done that before. However, I recently got an oil change at Mavis and the guy wanted to use some oil he preferred/recommended and I allowed him to, but then realized I had put Mobil 1 which is a full synthetic in a couple oil changes ago, and the oil the Mavis guy used is non-synthetic. It's possible the white smoke was condensation burning off (there was quite a bit of moisture on the end of the tail pipe while the car was idling) but the smoke was fairly thick. I'll keep an eye out for drop in oil/coolant, but there hasn't been up to now (there was some oil loss awhile ago during some rigorous driving, but none recently).

My mechanic told me the miss could possible be one of the following things:
1. something to do with the ignition system; the rotor, cap, plugs or wires, but given that all were replaced a year ago, it'd be disappointing if they were failing again now. He also said it could be one of the modules inside of the distributor I believe he said.

2. fuel pump or something with the fuel system.

3. chipped tooth on the timing belt? or misaligned or something wrong with the timing belt.

Any other ideas?
Thanks.