You may want to check the underhood fuses (#15 and #18) per this notification from Ford:


Various Electronic and Driveability Symptoms and Codes:
2005 F-Super Duty trucks built before 5-11-05 may exhibit various electronic-related symptoms due to loose/miss-installed fuses in the engine compartment fuse box. These symptoms may be intermittent. The fuses should be inspected to verify they are installed into the terminals in the fuse box and not along side the terminals.
Fuses--Symptoms
#9, 20 amp: Trailer turn signals inoperative
#10, 10 amp: Check Engine Light; Codes P1633, P0446
#11, 10 amp: Speedo bounce, ABS light, Cruise control inop; Codes U1900, U2023, P0500-P0503
#12, 2 amp: Cruise control inop, TBC Fault displayed, chime; Code C2803
#13, 15 amp: Day time running lamps inop
#15, 15 amp: Crank/no start, bucking, stall; Codes P2614, P2617, P1378
#17, 10 amp: A/C inop or not cooling
#18, 10 amp: Crank/no start, bucking, stall; P2614, P2617, P1378, P0611
#20, 10 amp: Trailer back up lamp inop
TSB 05-11-14