Ryan, if your car's been sitting undriven in a damp garage for most of the past few months, and the contacts on the cap and rotor were already worn, that could well explain why you're suddenly seeing stumbling and misfires. Moisture collects under the cap and corrodes the contacts.
As noted above, a fresh cap and rotor are the obvious places to start.
And you do know that, when putting the distributor back in the car, its shaft needs to be aligned in the same position it was in coming out, right?