2001 Lincoln TC stalling and won’t start

What is your question?

My car was stalling at stop signs and stuttering when driving. Initially it would start up. Then it would turn over but not start. Replaced fuel pump, started right up then did the same thing. Replaced fuel pump relay wouldn’t start. Replaced fuel filter started up but then stalled and would start. The check engine light isn’t on so I couldn’t get any codes. Checked the switch in the trunk. Help! What is next? I picked up an Idle Air Control Valve, do you think it will work? It seems to act up after a few miles. Also I’ve noticed that the temperature gauge drops from normal (less than half) all the way down no other indicator lights or gauge failures.

What makes this problem better or worse?

Stopping

How long has your 2001 Lincoln Town Car had this problem?

A week