Mark,
First and easy fix for the wiper issue is to replace the wiper motor, it's bad definitely.
Instrument cluster failure due to reversed polarity if so,
but you stated battery was connected and i do not see a problem, i replaced to many with battery connected and never had an issue, there might be something else, occurred after switch replacement, however need further diagnostic why it's happened. Check all the fuses and if all good I.Cluster is bad.
If your car is equipped with the an Immobilizer i suggest to replace new instrument cluster and reprogram the keys and transfer the vin # to the IC, dealer mostly do that kind of work, but some independent are equipped too. See and search in your area...
I'm able to do all the work even with the used cluster but i guess we are far away from each other.
IC part # should be same if you decide to go for used one.
Good luck.
Bresha