hiya, i have 12 bunnies, so speaking from experience not medical expert.. I have the same prob with 1 of mine for a few years....bunny teeth grow very close to the eye tear duct. You quite often find that weeping eye may mean your bunny needs a bit of dental...in my case he has his barbs filed, dead easy for the vet to do, but it is a re-occuring condition so he has them done every time his eye starts weeping, about every 3-6 months. hope that helps!!