Good deal on replacing them with all new ARP or a good quality stud made for the job.

I think your problem stemmed from electrolysis as I see corrosion between the hub and studs and a cheaper made stud?

Use lot's of anti seize when you put the new ones in. May want to consider replacing the lug nuts to be 100%. I know, cost money. Not sure on the lugs, I'd want them to spin on by hand and be snug with no looseness on the new studs.

Here's hoping you can get the old ones out with no problem. Clean all the rust off the studs first so you don't mess up the hubs taking them out. Good luck and good catch.