Need help, not sure what to think... Options

[Overkill]

Ok, so here is the situation. I drove to a meeting today. 45 minute drive. I was a tad bit early, so I pulled into a gas station to let some time pass. I let the car run while I waited. I was there for maybe.... 8minutes. I backed out of the parking space, and drove to the meeting. After the meeting, I went back to the same gas station... and got a coke. I turned the engine off while I went inside. I came out, started the car, and moved over to the air pump while I was waiting on someone. I waited for maybe 10minutes while the car was not running. As the person I was waiting for passed, I tried to start the car and all I heard was tick, tick, tick, tick. I thought it could be the battery had died, so I popped the hood. I checked all the wires. No corrosion on the terminals. All the negatives were connected. No loose connections, and the alternator and spark plug wires look good. I waited about another 10 minutes, and decided to try to start the car again... and it started. I felt okay about the situation thinking that nothing major was going on. HOWEVER... as I was driving home on the freeway... my car died. I coasted past a state trooper, pulled over, and put her into park. I turned the key, she started right up. I drove home, backed into the drive way, turned her off, and restarted her.

The spark plugs & wires, cap, rotor, and oil are all new and installed correctly more than 3 months ago. There is nothing wrong with the battery it seems, and the starter would not make the car die while driving. I did recently have a loose alternator belt, but have since tightened it and she has been running fine. I am seriously confused, but would appreciate any help or advice you guys may have.

[Smaay]

ok what is the question? where is the fuel pump?

its in the diagram above. if you lift out the back seat, unbolt the small fastners and lift out the assembly, the pump will come with it. there will be a sock on the bottom. that is NOT the fuel filter. its just a sock to prevent big items getting in pump. the filter is in the engine bay right next to the charcoal cannister (94-98)

the 99 celicas have a newer canister under the gas tank