Update
All brake rotors getr hot. That is how they do their jobs. Excessive heat, as shown by bluing or warping indicates a problem, but they should not be comfortable to touch right after use. Have you ever watched the TV coverage of the rotors glowing at a race like Bristol? The best way to check for a dragging brake is to jack the vehicle up and rotate the wheel. Remember that disc brakes are close clearance, so there will be some drag, but if the wheel can be turned readily with one hand with some drag, they are usually fine. If they rotate freely or do not turn without great difficulty, there are likely problems.
Also please note that buildup of brake dust is common. The amount depends on how much the brakes are used. In the mountains you will see much more brake dust on the wheels than when traveling across Nebraska.
You responders are truly great. First in response to turning the rear wheel while jacked up. I put belt dressing on the drive belt before the trip because of the steady, rotational squeak on acceleration. The wheel was hard to turn but I didn't connect it until these posts because I really didn't know if it was a real free-wheeling or not.
Now for the shop visit. I took the scooter to Mountain Motorsports in Kodak, TN for an $82 shot in the dark that yielded no improvement. Today it's all the same. Squeaky belt and ultra-hot rotor, but I learned a bit about the brakes. After listening to my description of the problem (and the service writer burning his fingertips on the rotor), the lead tech took the parking brake assembly apart and loosened up the "spring" (the shot in the dark), put it back together, charged me $82, and sent me on my way.
During my visit, I was told there is a difference between the front and rear calipers. The front pistons have a spring return that creates a slight gap between the pads and the rotor, the rear does not; therefore, when the brake is released, the rear pads just hangs with slight contact with the rotor, but with no pressure - may get warm but shouldn't get hot. Since the braking system is linked, a problem with the fluid was ruled out because if bad, it should affect all three brakes.
There was a recall for 2013's because of the parking brake assembly not fully releasing, leaving pressure on the rotor and even causing fires from the excessive heat. My Spyder was not part of any recall, though. I am planning to go through my dealer, MMS Conyers, to diagnose the problem and submit their results to BRP to see if it can be fixed under warranty. Oh yeah, the squeaking belt has to fit in somewhere but I'm not sure where. Thanks again.