How can I fix the metal cable that makes the front right side window go up and down?

I had the same thing with my driver side window. I took the door panel off and did not see any physical damge. But if I ran my hand along the regulator track, I would feel the cable had started to fray and come apart. The clicking was the cable within the spool that winds up as you use the window rubbing against the plastic. My van is a 2000 and I was able to find a .pdf of the Dealer repair manual online, only one page talks about the regulators and shows for a manual setup. But it made the mounting screw locations easier to find. Go to you-tube and type in your car make and year with something like, "how to replace a window regulator". I was lucky enough to find one for my van. In my case, the space you are working with is extremely tight, but I was able to get it all back together and it works great. I just fixed it yesterday, BTW, just wanted to pass on the good fortune.

Damage
New Regulators and Motor
Space to work with it tight and motor with cables mount to exterior.

you have to run a power wire to the motor in the door and press up on the window button it should go back up if not then you need to change the button hook up or the motor

bring to a repair garage

your window motor is broke. or bad wireing in switch. most likely motor though.

It is most likely a wire that became disconnected at the switch, if neither windows work, it is likely a fuse.

sounds like bad regulator, pull your door panel apart and it is the part that goes onto the motor. long bow shaped thing with cable attached. pop out rivets, (I think 3 rivets) and on the upper side there are 2 nuts that have to be removed. then wiggle it around till you can get it out of the biggest hole in door. Good Luck.

Most likely your window motor has failed due to dirt inside from normal wear and tear during use, or overloading has burned it out. A second possibility is that you need to reset the calibration on the motor that tells it when to stop at the top and bottom (also necessary after replacing a worn or burned out motor). Great service-manual-quality info can be found here (link is to the reset procedure). Door panel removal is here. Window motor service info is here and here.

I had the same problem on the driver's side.
bad motor - $280.00.
Typical Chrysler ****

The window assembly has metal and plastic parts inter mixed that attach the metal to the drive motor via a cable. It is hard to see you will need a mirror and a pair of pliers. But the window all the way down vai the switch and look for a metal round metal part on the cable. This has to fit in the window assembly track.
I did a little bending and my rear window now works great.

Once those cables break, the window regulator is history.
Cheapest way is junkyard regulators.