Passenger side wiper blade not moving when you turn the wipers on.

Pop your hood and remove the plastics between your hood and windshield.
Then look at the windshield wiper mechanical assembly. Most likely one of the snap-on connectors came off.
To remove your wipers pull up the plastic cover that attaches to the post that sticks out and also turns your wiper blades next remove the nut on top. Next pull up on the arm (it might be tight) to remove your wiper blade holders. Assembly is just in the reverse order.
If you have never done this before its not hard just be patient and look at what your doing.
Most parts can be bought online and installed by vehicle owners.

wiper blade on driver should be 22 inches and the passenger side wiper blade should be shorter make your wiper blades is what factory call for if too long they will move slow hang up.

bent/broken wiper arms under the base of the windshield..remove the vent cover and service/replace broken parts.

When you tried to move the wiper with the ice it probably broke an inner componette and connecting rodes from motor. You'll haft to inspect the rodes and motor to know what damage is done but it you can move the wiper easily by hand it's definitly broke. If it is real hard and dont want to move it might be jammed and you might be able to move it alittle to move it back into place.

is the stud stripped or u might need to pull the cover off at the bottom of the wiper and tighten the nut.

the wiper transmission which is also know as a linkage is stripped out

the wiper arm assembly is stripped for the knurled knob that is sits on.  replace the wiper arm with a new one.

What I would suggest you do is the following:

1) Remove the driver side wiper (arm & blade).
2) Start the car and turn on the wipers.
3) When the passenger wiper is straight up and down .. turn off the car. This leaves the wiper in position.
4) Re-install the drivers side wiper and put it back on so its position is the same as the passenger - making them parallel

Start the car and test

The 23 should work on the drivers side but you will need a 19" on the passenger side.
Hope this helps and let me know.
Regards,

take the cap off the end of the wiper arm and tighten the nut