Air Conditioner problems of the 2004 Ford Expedition

This has occurred a three times in last month. . . First being in July. I park my vehicle, turn ignition off and pull out key and the air conditioner is still blowing and radio is still going for a couple seconds after key is pulled out. . . Only a couple seconds and immediately shuts itself off. This is definitely an electrical or ignition issue. I do know radio will stay on until door opened, thats a feature of the vehicle, but this is different, air stays blowing?? not sure if this is related to above issue but also having an problem with electrical(?) under the hood, at times the vehicle while sitting at a light or drive thru tries to die so much so that you can see the instrument panel lights trying to go out as the car attempts to die. I have put a brand new battery in a couple months ago but its not that, its a weird issue like while holding brake down, it just attempts to die and this is only at times, not every time. When on gas, never an issue at all. Car runs great but seems to have an electrical problem somewhere.

I am the 2nd owner of this vehicle. Had problem w/ drivers seat & mirror fuse blowing out since I purchased truck in August 2011. Some time in 2012 I started having additional problems w/ my truck like radio &/or heating/air not coming on when started. Check engine light going on & off & back windshield wiper stopped working. Then it was the vehicle was dying quickly by leaving the radio on for 10 min after vehicle was turned off. We replaced the battery & terminals that connect at the positive & negative. We had plenty of other issues like the entire brake lines needing replacing due to rusting. There is now rusting on other parts of the truck. Blew fuse to air conditioner 2x. Things seem to be ok after battery was replaced until the truck shut off several times while driving it over the past year. Sometimes if you waited 5-10 minutes it would restart. Vehicle has been in shop & nothing comes back on diagnostic test. We have had the alternator & fuel pump tested. The cables to the battery were just found rotted & replaced but something is still killing my battery. The fuse box has been making loud click noises when the truck struggles to start. Today it wouldn't start again until jumped & now the radio wouldn't go on. At the shop again & the mechanic is stumped but working on it! from research it seems to be either a fuel pump relay that is apparently sodder into the fuse box & almost impossible to replace w/ replacing the whole box or it is the fuse box itself. I am also seeing claims of water leaking down windshield & getting into fuse box. All I know is Ford should acknowledge & recall before someone gets killed! my children were in the car several times now when it staled while I was driving or stuck in parking lot & even a severe thunderstorm when it won't start. And now I'm reading the fuse box has caught fire in some of these cars! I rely on this vehicle!.