1989 Honda Civic Starting Problem

When engine is cold, my 1989 Honda Civic with 270,000 miles starts fine. I’ll drive it about 3-5 miles to run an errand, and shut it off for a few minutes while I’m in the store. When I come out, engine turns over but has trouble starting. It almost seems like it’s backfiring through the engine. If I wait about 15-20 minutes, I can usually get it to start by goosing it, but the engine runs rough (intermittently) and sometimes stalls. The problem seems to be related to the engine temperature. Could this be caused by a sticky valve? If not, any other ideas?

TDC or crank sensor could be going. Has the coil been changed? Fuel pressure checked?