I don't have any experience with rabbit eye infections but: http://www.medirabbit.com/EN/Eye_diseases/Disorder/Ulcer/Ulc_en.htm
http://www.medirabbit.com/EN/Eye_diseases/Clinical/Eye_diseases.htm
No, the thin one is getting as food as the other babies but it still be thin, I don't know the reason. I have been helping a lot of times but it don't want to eat. Only with the other babies.
Silver, Misty, Midnight, Moonlight, Violet, Crystal, Pepper, Shadow, Charley, Lily, Lucy... If you want to find more go to:
http://www.bunspace.com/topten/names?result_tgp_no=6&result_tgp_limit=25