If the FP is only 1 year old, you are probably ok, but just because you can hear it come on, doesn't mean it is good. FPs tend to get week with age, you can even has some pressure, but not enough to run the truck. As for the ALT, yes the lights and radio can still come on, but when you try to start the truck, there is not enough power in the battery to do so. The ALT is what runs the truck, the battery is just a place where the power is stored. You may very well have a bad battery cable. You are getting enough power to run the lights and radio, but not enough to start the truck, because of a bad cable. IMO the first thing to do is to swap in a good battery, or charge the one you have, then see if you can start the truck. If it starts, then like I said before, take off the pos battery cable, and see if the truck dies, or keeps running.