Gas gauge

Hey EDDIE,

This sounds like a classic fuel level sender problem which is common with these cars.
you must pull the tank down to replace the sender here is a guide that will show you what you are in for when doing this repair.

https://www.2carpros.com/articles/how-to-replace-an-electric-fuel-pump

Please let us know what you find so it will help others.

Best, Ken

Here is some repair manual jumbo.

Fuel Gauge
The instrument cluster receives the fuel level signal from the fuel level sensor, part of the fuel pump module. The fuel level sensor measures variable resistance in the fuel tank depending on the current fuel level. For vehicles equipped with flex-fuel, when the fuel level is low, resistance in the unit is low (7 ohms ± 2 ohms). When the fuel level is high, the resistance is high (138 ohms ± 4 ohms). For vehicles not equipped with flex-fuel, when the fuel level is low, the resistance in the unit is low (15 ohms ± 2 ohms). When the fuel level is high, the resistance is high (160 ohms ± 4 ohms).

The instrument cluster uses 4 different operating modes to calculate the fuel level:

Anti-slosh (default mode)
Key OFF fueling
Key ON fueling

Recovery

After a fuel fill up, the time for the fuel gauge to move from empty (E) to full (F) ranges from 2 seconds to 55 minutes depending on which operating mode the fuel gauge is in.
The default fuel gauge mode is called the anti-slosh mode. To prevent fuel gauge changes from fuel slosh (gauge instability due to changes in fuel sender readings caused by fuel moving around in the tank), the fuel gauge takes approximately 55 minutes to go from empty (E) to full (F).
The key OFF fueling mode (2 seconds to read empty [E] to full [F]) requires 3 conditions be met:
The key must be in the OFF position throughout the entire refueling of the vehicle.
At least 15% of the vehicle's fuel capacity must be added to the fuel tank.
The instrument cluster must receive a valid key ON fuel sender reading within 1 second of the key being put into the RUN position. The key ON sample readings are considered valid if the fuel sender reading is between 15 ohms ± 2 ohms and 160 ohms ± 4 ohms.

If these conditions are not met, the fuel gauge stays in the anti-slosh mode, which results in a slow to read full (F) event.
The key ON fueling mode (approximately 90 seconds to read empty [E] to full [F]) requires 3 conditions be met:
The transmission is in PARK (P) (automatic transmissions), or the parking brake is applied (manual transmissions).
The key is in the RUN position.
At least 15% of the vehicle's fuel capacity must be added to the fuel tank.
In key ON fueling mode, a 30-second timer activates after the transmission is put into the PARK (P) position or when the parking brake is applied. When the 30 second time has elapsed and at least 15% of the vehicle's fuel capacity has been added, the fuel gauge response time is 90 seconds to read from empty (E) to full (F). When the transmission is shifted out of PARK (P) or the parking brake is released, the fuel gauge strategy reverts to the anti-slosh mode. This mode prevents slow to read full events from happening if the customer refuels the vehicle with the key in the RUN position.

Recovery mode is incorporated into the instrument cluster strategy to recover from a missing fuel level input after a refueling event. Missing fuel level inputs result from intermittent opens in the fuel sender or its circuits. Recovery mode (empty [E] to full [F] approximately 20 minutes) is initiated when the following 2 conditions are met:
The instrument cluster is in the anti-slosh (default) mode. The actual fuel level in the tank is greater than what is being displayed by the fuel gauge.

Sounds like it may be a PCM problem, but the sender and fuel pump are on 2 seperate circuits. Teh pump running can be the PCM telling it to do so. If there was no ground present there may be a wiring problem at the module, that is where ground goes to the body/frame. No communication with power present at theOBD-2 is usually a PCM. Need to get a meter and see if the black/pink wire has any variance in resistance when working thesender manually

I hate to say it, but I think you have to remove the fuel tank and check to see if the float is stuck or damaged. If it is in good condition, chances are the rheostat that it is attached to is bad.