If god is not omniscient, omnipotent and omnibenevolent, is s/he worthy pf being called god?
Well, obviously that depends on what you use to define "god". In the past "god" simply meant a person of enduring legend or an anthropomorphication (is that a word?) of a natural concept. In more modern theology, god is generally refered to when talking about "infinite" beings, whatever that might be. A non-omni* god would not be infinite, so the answer would be "no."
But you'll have a hard time picking a definition of god that everyone can agree with, because there's simply no way to test any definitions because there's no evidence about god that people can agree on.
It's a tough (potentially unanswerable) question. If it's one that is so important to you that it keeps you up at night, I don't envy you.