1999 Jeep Wrangler Jeep Wrangler Sputtering/Stalling when h

I have a 1999 Jeep Wrangler with 91,000 miles. When it is hot out, it will drop RPM's rapidly and "sputter" as it it wants to stall. It happened to a lesser extent last summer and then was fine all winter. This summer it has gotten worse. It has stalled out a few times due to this, once on the highway while I was doing 65. I pull over and it re-starts no problem and I can drive away right then. When the happens, the RPM's drop to 0 then kick back in after a sputter. The electrical in the car is still on and I have to turn the car completely off and restart it.

Also sometimes when I fill up, the gas pumps kicks back saying I am full but when I re-start the car it shows 3/4 tank. Not sure if this is related but I figured I might as well bring it up as it might be key to someone in the know.

I am not a car guy, hence I am asking the question here. But to me it seems that the fuel pump is either overheating or a relay switch somewhere is burning out. Like I said it only seems to happen when the weather turns especially hot. Usually after I have been driving for 45 minutes or so.