Sorry you got some backwards cables and a bad header. I used to inspect all of the boards and cables closely before shipping them out, but in the most recent production run, the cables were sealed in a foil bag along with the adapter board, so we weren’t able to see them properly. You can fix the backwards polarity cables yourself. Just use a small pointy tool like the end of a pair of tweezers to gently lift up the small plastic tab that holds the crimp connector into the JST housing and the wire will come out. Do that for each wire, then simply insert it back into the housing in the right location and it will lock into place.
For the adapter board with the plugged header hole, most of the time you can just press down a little harder on the bee module and it will push the solder down and allow the rest of the header row to seat all the way down. If not, you can just use a soldering iron to heat that particular pin on the bottom of the header while pressing the bee module down. Once it’s seated, remove the heat and remove the bee module so it doesn’t cool and get stuck in the header. Wait a few seconds and then you can put the bee module back in the header and it should be seated properly. If not, repeat the soldering trick a few times. If that’s all too difficult, email me and we’ll arrange a replacement.