Most importantly, the fur issue is likely a sign the bond is not a bond and they are fighting– that’s a safety issue for both rabbits.
The fact that the second bun is not neutered is likely the culprit for all your problems.
One rabbit being hormonal (i.e. not neutered) means:
1) the “bond” he has with a fixed rabbit is likely not stable, which is why there are signs that the bond is not true
2) he is hormonally-driven to enact territorial and more destructive behaviors, like pooping everywhere and chewing things
3) his presence can actually bring about hormonal behavior in a fixed rabbit, which is likely why your other rabbit is also pooping/peeing everywhere. Separate from this, the “poop wars” is common and expected in two rabbits who are new to each other, as they are trying to establish claim over the space. This is actually an indication that they are not bonded, if they are still trying to mark over each other constantly.
My recommendation is to invest in re-arranging the space so that they are separated from each other for the foreseeable future, as well as so they are not free-roam and cannot destroy your things when they cannot be supervised. This can be an x-pen or two for each of them, and they take turns being out in the free-roam space. Based on the current signs, it is not safe for them to be together unsupervised, and potentially even supervised, as rabbit fights can go bad very fast and in large spaces, it can be hard to stop them. The next step is to get the other rabbit neutered, and from there, you would need to go through the bonding process, which you can read about in the RABBIT INFO section of this website.
The answers provided in this discussion are for general guideline purposes only. The information is not intended to diagnose or treat your pet. Seek the advice of your veterinarian or a qualified behaviorist.