Janet's rhymes with:
gannett's, planet's, planets, baronets, benet's, bennett's, bluebonnets, cabinet's, cabinets, chestnuts, coordinates, electromagnets, gannett's, hornet's, hornets, ignatz, laminates, magnet's, magnets, minute's, minutes, minutes', peanuts, planet's, planets, tenets, unfortunates, units
Janet's sounds like:
janowitz, jantz, jaundice, jaunts, jentsch, jentz, joints