Yes, yes, and mostly yes. This is no different from entering a name of someone written with a less common combination of kanji. You can either enter the word p

Yes, yes, and mostly yes. This is no different from entering a name of someone written with a less common combination of kanji. You can either enter the word phonetically and pick the kanji you want (this trains the IME), or manually add an IME dictionary entry. I fully expect all IME's in common use to have updates for this within days, if not already.