There are no "rear 4 ways". When the emergency flasher or 4 ways are activated, they use the same wiring and the same bulbs as the turn signals.
I think what you are saying is when you activate the left or right turn, both are blinking correct? The first place to look is any trailer wiring back there. Make sure it's not shorting any wires together, sounds like the left and right brake/turn wires are touching each other somewhere.