Stand alone
I am someone with authority
Add a "B" or an "H" or an "L"
All three are synonyms of each other
Who am I?
I think the answer is
Ump
Stand alone
I am someone with authority
Ump is short for "umpire" - an official who watches a game or match closely to enforce the rules
Add a "B" or an "H" or an "L"
All three are synonyms of each other
Bump, Hump and Lump are all, essentially, synonyms of each other (a protuberance).
Explanation of the Title (from OP in the comments)
Bumps, humps and lumps are often disliked (especially on one's body).