I tend to agree with
fleming442 about it likely being a fuel/air mixture issue. Dirt in the carb, or a vacuum leak. It's free (except for time) to check over the vacuum lines to make sure they haven't fell off somewhere or lines cracked/crumbled. Not that new plugs wouldn't be welcomed, but I don't think that's the root of the issues you describe.
Also, make sure the vacuum/mechanical advance on the distributor is working. I'm pretty sure 84 Regals all had CCC. You can't mix/match CCC and non CCC (computer command control) things. So I'm assuming there's a vacuum advance on the distributor??