93 starting issues, please help input needed

[cummapart]

hello to all, just bought the car, do not know too much about it. It drove home fine about a 50 mile trip. I did notice hesitation on the way home.
I did a cap,rotor,wires and spark plugs and it was okay for about a day.
Noticed more hesitation when it was cold. So I kept driving the car for about three days, approx 200 miles, on the way home it died on the X way. after about 5 minutes it started up got it home. Now it is dead.
It turns over just fine
it gets fuel
I checked the ignition module OK
I checked for pulse signal from module OK
I am not getting spark from the coil
I replaced coil with new one and it started up BUT here's the kicker
it ran for about 20 seconds(perfectly) then idled down and died
I started it again and it fired up for about 5 sec then DEAD
NOW it is just turning over like before NO spark?????????
What gives did I burn the new coil??? and what would cause it to burn???
oh yeah it is a automatic w/106,000 miles
PLEAZE helpppp me I am going bonkers trying to figure it out and the chilton/haynes manuals are NOT that specific. I am mechanically inclined but not familiar with the Festiva Thanks to all.

[edds1940]

I would replace the coil wire as have found it can cause intermittent starting issues.