these questions are very state specific. Since the OP is in Washington, just from a reading of the statutes, IANAWL etc. etc.,

the answer to #1 is YES, right turn on red, including a red arrow, after stop . RCW 46.61.055(3)(c).

the answer to #2 (as in many other states) is it depends on whether case law has determined that a bicycle is considered an "obstruction." RCW 46.61.130, 46.61.100(1)(b). Consult an experienced traffic lawyer on that one if it's important to you, but as a practical matter, I can't imagine the cops hassling someone for passing a bicyclist safely, as long as they yield appropriately to oncoming traffic. Cops themselves do it all the time where I live.