Check ground to chassis
The only thing that I can think of that would account for 3 very different circuits would be a grounding problem.
I'd check the battery cables - remove, clean, replace - and then check for a grounding strap to the chassis somewhere.
I can't think of any other reason for 3 very different items on different circuits to stop working - but they work when connected directly to a power source...if I understand correctly.
Just my thoughts....anyone else?
2008 Journey 39Z Cummins 350 ISB 6.7L
2006 Honda CR-V LX Tow