Car Symptom Question on Mitzi

I have a 1991 Mizibitzi Mirage that runs fine for about 1/2 hour then starts to sputter as though it does not get gas or gas line plugged up. When it starts to sputter I really have to give it the gas to keep it going. I have changed gas lines, fuel filter, spark plugs and distributor cap. This is still a problem at all speeds, and in all weather situations. What could be the cause? Failing fuel pump? failing oxygen sensor? Help.

2002 mitsubishi montero sport 6cly

When my headlights are on and I tap my brakes the radio goes off for about 5 secs. It also happens when I use my turn signal. It dosen’t happen all the time but very often.