1993 Dodge Caravan Bad Fuel Injectors?

Gas gauge has been reading innacurately for several months. Saturday drove the van to the library and when I came back out an hour later, it wouldn't start. It attempted to turn over, but wouldn't catch. Boyfriend is the primary driver of this vehicle, and handn't reset trip odometer when last refilling the tank, so I thought it may just have been out of gas (as this has happened before.)

However, after adding 5 gallons of gas, the vehicle still wouldn't start. I thought there might be air in the fuel line, so I bled it. It took several seconds before any fuel squirted out, but it eventually did.

Attempted to start the vehicle again. Again it would turn over but not catch. I thought that perhaps the engine was just flooded, and might start if left for several hours. So BF picked me up and we returned to the vehicle again the next morning.

At that point, the engine not only turned over, but the car did in fact start. However, it loses all power and dies pretty quickly when engaging the throttle. If foot isn't put on the gas, the car will idle for 15-30 seconds and then it sputters out and dies.

3 days later, the story is the same. The car will turn over and start, but die w/in 30 seconds or with any engagement of the throttle.

We're thinking it's the fuel injectors. Thoughts?