2. Level sendor/sensor, the fingers on the circut board have worn off. Dorman makes a replacement part and being an 04 likely still has the access panel in the truck. It was taken away somewhere through 2005.
3. I think there is a relearn procedure that can be done, even though it has no real tire pressure sensors in the wheels themselves.
4 and 5 are likely related to each other, but I can't be for sure on that.