Eye discharge can be due to a lot. Sometimes from teeth problems, allergies or irritation, problem with the tear duct, or infection. You should take the rabbit to see a vet – aside from this problem people recommend that you take all new rabbits to the vet for a physical checkup. I just found out why that can be so important – my rabbit seemed 100% fine but I took him in anyways a few weeks after getting him and it turns out he had ear mites. So even if the rabbit seems okay, and especially with a symptom like this, you should take the rabbit to the vet.

I’m assuming you have a vet since you have another rabbit, but if not, usually you can go to rabbit.org and find your local chapter of the House Rabbit Society and they will have a vet referral list to help you find a vet that has experience treating rabbits.

http://en.allexperts.com/q/Rabbits-703/eye-health-1.htm
This article is also by a well regarded rabbit expert and seems to be similar circumstances. Perhaps it will give you some insights.

Many rabbits enjoy having the eye groomed so you might be able to clean it with a slightly warm wash cloth or a cotton ball and saline. Be sure to wash your hands well before touching your other rabbit incase it’s anything contagious like conjunctivitis. But as suggested, a wellness check is always a good idea for a new rabbit.

Another thing to note with longer haired bunnies it they can get bedding trapped in their fur more easily. They could then irritate their own eyes when grooming. So take care in the choice of litters and/or bedding. No sawdust or anything too fine.  Generally, they require more brushing to keep the fur under control, reduce the amount ingested and to help against fur irritating the eyes and nose.

All rabbits will get the “crusties” in their eyes from time to time, but usually they can keep it cleaned themselves. If not, like Jersey said, a slightly damp cloth can be used to clear away any discharge. If you notice it returning tho, I would definitely suggest a vet check-up, and like MissKris said, this is a good idea anyways for any new bunny. New bunnies are sometimes at risk for coccidia and other parasites depending on what kind of conditions they were kept in, so a fecal check and baseline exam is important.

Great news! Just keep a close eye on it, because eye problems can be signs of bigger things, and often it’s baby rabbits who get it from momma.

The eye crusties are normal but the wet streaks down the fur are not. So, I too recommend getting him into a vet. Sounds like that is your plan, so keep us updated!

Oh, and congrats on your new bunny and WELCOME to BB!

Don’t introduce any rabbits who are still intact. Both have to be neutered to be able to start bonding with each other.

Like Petzy said, never ever introduce rabbits until both have been altered and healed.

For his playtime out on the living room floor, can you put a blanket down? That should help him stay more stable and it’s easy enough to fold up and put away or throw in the wash if he pees on it.

Many vets also want to wait until the testicles drop (which is usually around 3 months)

Oh, I gotcha — if he’s that tiny I do understand that vets will wait until more weight is put on.