I would do some simple diagnostics first. It's probably a problem with the front brakes.
Drive around for 20 minutes or so then get out feel each rim near the center. Your right front caliper might be dragging which will make that rim noticeably hotter than the others.
If the left front is hotter than the others, the right front is not grabbing which could be the caliper or a brake line.
A flush is a probably a good idea regardless of the root cause but I would try to diagnose the problem before trying to cure it.