Brake pads drag a tiny bit all the time, this is normal. They never really pull completely away from the rotors.
A good way to test for drag is go for a quick ride. To test the rear brake, use ONLY the front brake and do some spirited runs. After ten minutes or so, stop and feel for heat on the rear rotor - DON'T GRAB IT without testing for excessive heat first - if the pads are stuck or dragging, it will be hot. They you'll know if you have a problem.
If the rotor is cool, as is the caliper and pads, then you probably don't have an issue and the dragging your are feeling while on the rear stand is most likely normal.
Reverse that test to check the front pads. But from what you are describing, you could have shot bearings or worse, warped front rotors.
If you don't have the tools, you can take your front wheel off and take it in to your nearest motorcycle shop. They can test for warped rotors and check your bearings.
A warn front tire can also cause the wobbliness you described - if you run your hand over it and feel excessive bumps and grooves, it was probably ran too long with improper air pressure (too high or too low) and needs replaced.
2009 Aprilia Tuono - Ginger
2001 XR650R BRP (Big Red Pig)
2006 Honda 599 - Ex wrecked it :-D
2007 Honda CB900F (sold)
2006 Honda VTX 1300C (sold)