Most likely the wires broke-off at the solder joint. That's more of a pain. The thing to do is get yourself a magnifying glass and carefully inspect the heater until you find missing leads. Take your time; it will take some time. When, or if, you find the places you'll need to do a bit of analysis as to which wire goes where. In general the wires should match to the same color: black to black, white to white. In practice, it doesn't always work that way.
SAFETY ISSUE! ASSUME YOUR RE-WIRING IS INCORRECT!!!!!
Should you get the thing re-wired, conduct the test outside in a safe place. Make sure there is no power running to the heater. Turn it on. Then apply power from a safe distance. The best would be a power strip or something with a switch.
If the heater smokes or makes funny buzzing noises turn the power off. Reverse the wires and try again.
I may need to write that on a sticky note and put it on the bathroom mirror....
Thank you AT! LOL. But, but... it wasn´t even a shower surround! Our knowledge has surpassed our wisdom. -Charu Saxena.
;-)
Actually, the best thing is buy another one for the bathroom even if you get this one repaired. Breaking the seal, like you did, means the thing can no longer be relied on to repeal moisture. It may stay dry inside; it may not. If not Bad Things happen. Like electrocution.
Stay safe & toss the sucker.
But the note on the mirror may make me a better person. (; Our knowledge has surpassed our wisdom. -Charu Saxena.