Motors are cheap, and if you get one from Advance Auto, they have a lifetime warranty.
As for things to check, you'll need ot remove the trim panel to access the motor. If you unplug it, with the switch on, if you connect a DMM between the bk/lb and w/og terminals on the plug, and set the switch to high, you should see voltage in one direction than the other (as though the system is cycling). If you don't, check both of those two pins individually against a known good chassis ground, and see if you're getting power. If you're getting power to one and not the other, you likely have a bad or sticking relay in the battery junction box under the hood.
Ordinarily both relays are grounded and the motor doesn't move. When it comes out of park, it bumps the wiper-up relay. Then, it sends power from the wiper up relay, through the motor, and back to ground through the wiper down relay for a second (or however long it takes for the wiper to move). Then the down relay is energized and the power reverses the motor and grounds through the up relay. If one of those relays sticks in either position, the circuit is open and nothing moves.
Now, if you check everything, and you've got power, replace the motor. Not a big job at all.
Check it out and let us know what you find.