1986 Chevy Cavalier losing fire

Electrical problem
1986 Chevy Cavalier 4 cyl Front Wheel Drive Manual

I recently purchased a 1986 Cavalier (2.0 4cyl manual) for $500 and immediately changed the plugs and wires, rotor and distributor cap, fuel pump and filter, air filter and oil change.

It runs GREAT. For about ten miles or 15 minutes, whichever seems to come first. Then, it just shuts down. The "check engine" light will come on and it acts as though it's not getting any fuel. However, this last time it happened, I had someone crank it while I checked for spark and found none. It seems to run just long enough to get me to work and back unless I stop at the store on my way there or back. After anywhere from 30-45 minuites it will start back up as if nothing was wrong.

Also, I find a draw of 12v when I put a test lamp or voltmeter between the neg bat cable and the neg post on the bat, yet, pulling the fuses one by one will not make it go away.

I work on RVs and some of them have resetable fuses for the coachworks. Is there one on this car that resets when it cools after overloading somehow?