This TSB is required reading for pre-'93 F-series:
The blinker turns the cruise off because of a fault in the brake lights, or their grounds, or in the trailer wiring. Since the blinkers use the brake filaments, the signal backfeeds to the cruise module, making it think you're hitting the brake, so it cancels.
The turn signal droops & turns on by itself because the tiny plastic bosses on the cam are worn, or not molded correctly. Dorman/HELP! cams are garbage.
It doesn't cancel because the long spring arms on each end of the cam break off (especially if you try to turn the signal on WHILE turning the wheel the other way). The best fix for both is a MotorCraft turn/hazard switch assembly: