1/4 tank full of gas...hesitation symptoms in drive

SOURCE: 93 lincoln Continental singature series keeps stopping

May be the fuel pump relay. I had this problem with my 83 Grand Marquis. Look on the drivers side fender wall and look for 2 square relays side by side. They run about $25-35 each at Ford. I was told that they should both be replaced at the same time. One controls the electronic ignition and the other is the fuel pump relay. Hope this helps. As far as the fuel tank always reading full, I would think it is the float in the fuel tank or you have a loose wire.

SOURCE: I have 2000 V8 LS thatruns rough in park and at idle in drive.

That is normal.
If you rev it in park it will not rev over 3500 rpm before it hits the rev limiter.

SOURCE: when driving my lincoln 1998 after about 10 miles

Hello. I can assist you. Generally when a scan is done, the technician will clear out all of the codes and hope that the problem self corrects. I am glad you passed the state emissions test. Now let's get to the bottom of the hesitation. Generally all lincoln and ford cars that hesitate like yours have a problem with the "mass airflow sensor". Most likely you will need to replace it.
The Air Flow Sensor or Mass Airflow Sensor (MAF) is one of the components of an electronic fuel injection system and is found in many of modern vehicles. The Mass Air Flow sensor is usually installed inside the intake air duct between the air filter and the engine. The Mass Air Flow sensor is used to measure the amount of air entering the engine. This measurement is used by the engine computer or ECM to calculate proper amount of fuel injected into the cylinders in order to provide optimum combustion and low emissions.
Problems with Mass Air Flow sensors are common. Bad or contaminated Mass Air Flow sensor can possibly cause a wide range of various vehicle driveability problems such as stalling, especially when the engine is cold, misfiring, poor acceleration, etc.
In addition, a problem with the Mass Air Flow sensor often causes the "check engine" or "service engine soon" light in the vehicle instrument panel to illuminate.
The "check engine" or "service engine soon" light comes on when the engine computer detects some fault in one of the components of the emission control system.

SOURCE: transmission has a whinning noise

check fluid level when car running, sounds like a pump wine, is it slight or annoying? you could try lucas oil trans medic additive as well as a trans fluid change. Get opinion from a reputable trans shop, or just drive and ya never know.