I had a similar issue with my 95 LC. After 4 tows to the shop and a new AAA membership (it started fine each time when off the tow truck) I changed the fuel injection relay. It solved the problem.
Where did the oil go?
My 95 LC has done the same trick. My valve cover has had a slow leak forever, but there is no drip on the garage floor. Hard to belive a quart or more of oil could leak that fast and not drip, but it does.