1) How shall we describe a man (not offensive language) who's been non-
stop talking something not his business, making people around feel
annoying. He is not rude but people around seems not able to get rid of
his voice and presence. But he believes in himself that he's just,
righteous with a sense of humour.
2) How shall we describe a woman with the same characteristic as aboved?
You might call that man a busybody. If you call him a jerk, that's more generally negative -- and suggests that all aspects of his personality are unpleasant. (Busybody is very specific.)
I would not use the words freak or lousy this way.
Instead of using the adjective lousy, you could say "He's obnoxious."