Chinchillas got into massive fight when Dad got reintroduced to Mom and Baby?

So my chinchillas had a baby. It's been about a week, and I finally got to putting the baby and mom back with the father. They looked like they've been miserable without their company. (They've been together since they were first born... I know it's messed up that they are siblings, but they've been together for around 6-7 years and the baby was really unexpected.) I baby-proofed the cage, and everything was going good. It looked like the mom was trying to teach the baby to jump up to the short little platform I placed. It looked like it was going good, when all of a sudden the baby unexpectedly grabbed ahold of the mom's nose.The mom started making super loud noises.
Then all **** broke loose.
The mom and dad started fighting, the baby was sprinting around everywhere, and fur was flying everywhere. neither of them would let me grab them, so I pulled the shelves out so they'd stop jumping around(they're still fighting, the baby is still scared and sprinting around,) and all of a sudden I don't know if it was the mom or the dad, but one of them started peeing everywhere. I grabbed the dad and put him in the spare cage with food and water. What the **** happened? What should I do? Please help? Are they both still in heat?
(P.S. Since the fight around 30 min ago, the baby stays as far away from the mom, and the only good relationship now is between the baby and the father...)