Get a meter and test for continuity:
- Ground between the two AMC7135 boards (which should imply a common ground for all of the AMC chips)
- Ground from the bottom AMC board to your contact board
- Batt+ between the two boards
- Batt+ from the bottom AMC board to your contact board
- Vdd pin continuity for all of the AMC chips
- OUT pin continuity for all of the AMC chips
The first photo, showing the wire connections to your contact board, doesn't seem to show any solder joints for those connections. Did you solder the wires on the other side of the board (the spring side), which is not seen in the photo? Otherwise, I would suspect those connections as being the open ones.
Why do you need the third (contact) board? Why can't you use the bottom AMC board, which has perfectly good anode pad to solder a center spring? Also, why are the two AMC boards so loose? Why not put them together tightly, like this:
If you look closely in-between the two boards, you'll see parallel connections for Batt+ to Batt+, OUT to OUT, and GND to GND. The OUT to OUT connection requires drilling a small hole to run the connection to the top board. If you don't have a small drill bit, you can run this connection around the outer edge of the top board. If driver clearance in your host device is an issue, you can file a small notch in the top board to fit your wire.
All of those connections are made using short pieces of tinned, 24 ga stranded wire. I soldered each piece to the bottom board first. Then I slid the top board onto the pieces of wire through the matching holes for the top board. Held the two boards tightly together and soldered the top connections. Then trimmed the excess wire with diagonal cutters.