Edition doesn't really matter.
can a different player be in tokyo bay and tokyo city at the same time?
Yes. In games of 5+ players there can be two players in Tokyo at the same time.
If yes when damage to them by outside players do both take damage can they both yield or can one go out and one stay in?
Both take damage, and both have the option of staying or yielding.
Also if one player is in tokoyo bay no one in tokoyo city if the one in tokoyo bay doesn't yield does the player who gives damage go to tokoyo city.
Yes. If there is an empty place in Tokyo, the attacking player must enter (they enter City if both are empty)
can both players yield from one attack by one player?
Most of the time there is no difference between Tokyo City and Tokyo Bay. You are either 'in Tokyo' or 'not in Tokyo'.
If/when the game drops to only 4 players, then Tokyo Bay stops being used. The player currently in Tokyo Bay either goes to City if it is empty, or goes outside.