An update:
I followed the directions on
the page that MaNiFeX provided and have gotten a little more functionality but the following keys don't do anything when pressed:
=+, ]}, Right Shift, and Down Arrow
Is it possible that those keys comprise an entire section? The soldering looks pretty good for them, but I'll double check.
Part of my issue it seems was screws from Zeal stabilizers. I took them all off and keys that were either not working, or thought they were permanently pressed down stopped behaving that way. Any screw that looked like it touched something it shouldn't I put a little spacer so it wouldn't make contact. Obviously that wasn't effective.
I decided to take pictures of the soldering around the keys in question:
Down Arrow:
Left Shift:
]}:
=+: