The pads on the pcb side are gone and the switches were not making a connection. Because the pads are gone is the reason the solder is balling; I should have realized this. It also makes it difficult to desolder when it does that because when you try to desolder it only half the solder comes out and the rest forms a tube or cylinder as it pulls on itself back towards the board. It doesn't want to travel up the sucker it keeps pulling itself together. I have a Engineer SS-02 and a LyonsBlue sucker. The cheaper 5 dollar one actually works better. The SS02 has a nice soft tip which conforms to the surface, but the other one is a lot more powerful.
The pad on the opposite side is intact, so with the switch on the right I put a wee bit of solder at the base on the switch side to make contact. It's almost impossible to get it to flow down the thru hole, even with flux. I just put a tiny bit of solder there to anchor the switch and no I didn't melt it all the way. If the solder melts on the opposite side I'm worried it will pull the tracers up if I ever try to remove the switch, so I barely heated it. The pad on the bottom of the pcb doesn't actually connect to anything, it connects on the switch side.
On the left side, with the broken pad the contact to negative side of the diode is interrupted, so I ran a wire. I had to do this with two switches. Now everything works except for backspace. Maybe the switch is bad, but I guess I gotta take it off and see what the heck is going on.