Fuel pump relay is a definite possibility and should be replaced or soldered on EVERY car this old. But I think you're having a problem with the Hall sensor on the distributor grounding out due to insulation degradation. This is the connector right on the bottom of the distributor body. It's angled off to the left (driver's) side of the engine. I bet you can get it to stall if you just wiggle it by hand. No, don't do that- it's pretty fragile. A new sensor or a new complete distributor is the only fix. I replaced my 88's distributor last year.
This also gets rid of the dist shaft oil leaks, another unfortunately common trouble. The dist is held in simply by 2 10mm bolts.
The symptoms you describe are exactly like ours, but it just got worse and worse until it wouldn't run reliably at all.
Good luck!
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Rob Bareiss, New London CT ::: '86 244DL- 215K, 87 244DL- 230K, 88 744GLE- 198K, 91 244 180K
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