There are some posts directly on this.
You will need to check under the dash the condition of the transmission wires, how loose they are, once right you can lube them, there are two nuts holding the transmission posts these brackets are on either end of the dash they may need to be tightened.
The wipers are pushed onto the wiper posts, the two splines line up so the wipers can be pushed on.
Just get the wipers to work and park first, then work on the speed, this could be the cable is not engaging the motor slide control on the wiper motor.
Another issue I have is not being able to adjust the cable end to the wiper motor. I believe the cable clamp is stripped. Where can I get a replacement?My 57 Belair electric wipers only travel down half way down the windshield and they park half way down as well. Is there a way to adjust this? I think they are only running on low speed as well.