I disassembled and cleaned and polished my caliper (on an F650, but looks very similar) and put it back together, bled it, and no more sticky rear brake! I did buy the kit for the master cylinder because I thought that was why the brake wouldn't release properly but I got sent a kit that did not fit, so I carefully took apart, cleaned, and put that back together first.
One other possible cause of sticky brake is brake lines are toast. Allowing compressed brake fluid into the caliper but not allowing it to back-flow.