I’m glad to hear that it is now working.
This new problem of staying on sounds like another solder issue. I’m pretty sure just nicking the plastic with your iron wouldn’t damage the relay, unless you can see metal parts in there.
I’m assuming that the bypass LED stays on too….is this true?
…if so, you need to very closely check the solder joints around the switch (on both sides of the board). Use your continuity tester to make sure the square pad of the bypass switch is not connected to ground when the switch is not pressed (it should be connected to ground when it is pressed).
Let me know what you find.
Good luck.
-Brach