I would keep DJ off the bed until he is older and potty trained. Like some one else said he could fall of and injury himself. Also if he is pooping and peeing often it could happen in your bed.
I woke up every couple of hours and took Zeus out when we first got him. He would whimper and whine for a little then fall asleep until he had to potty again. He will eventually make it through the night. Do you have anything with a heartbeat sound to keep next to him?