Please remove the battery from your computer. Fixing battery corrosion is painful and time-consuming.
Minus - side of the cap should measure 0 relative to ground, yeah. 5.05 sounds great.
I don't know why you think the problem isn't in the daughterboard. It's always the daughterboard. They always have cracked solder joints. When they do, the computer won't boot. The symptoms are exactly like what you have now. Even if the problem isn't the daughterboard, it's impossible to tell until it's been confirmed that it's not the problem. And it always sucks, because it's so annoying to work on.
I don't think that work looks factory, by the way. I don't have pictures, but the factory didn't tend to leave flux on it. I would wager that it's hobbyist rework, and it may have been that somebody didn't want to take it all apart, so they re-flowed the joints that they could get at easily. This won't fix the problem.
I really like these: https://www.greatplainselectronics.com/proddetail.asp?prod=140-101 It does two things: first, it mounts to two places on the computer, removing stress and adding redundancy; second, you can just take it off when you want to inspect it.
If you don't want to resolder these (and it IS quite aggravating, even if you have a decent desoldering pump), send it out, and maybe ask for one of the Great Plains boards to be installed.