The problem might be your fuel filter. I know first hand that when mine collapsed it did the same thing. Also might check the throttle control fuse and cable.
Time for a serious tune up.
Red means STOP. What does this little red light say or look like. Low oil pressure light is RED.
It sounds like the head gasket is blown especialy if it is overhead valve.
It cuts off the engine while you start it up.
Spark plugs
Intake manifold air leak or you need to put some fuel injector cleaner in. Did you gap your plugs correctly?
clean your injectors
2004 dodge grand caravan 4.0sxt cuts up when apply brake in gear and rpm go up and down.
No.
My friends truck will do 98 mph, no more. It cuts out after that.
You need to check your fuel pressure..Also check for worn plugs and rotor button
the coil could be shot the coil could be shot