The only grammatical error I see is "is happened". Instead, say "happens" or "has happened".
Everything else is correct. I am not enthusiastic about the first two sentences though. The use of "consistent" bothers me because as an adjective, "consistent" modifies "I" (the subject of the sentence). However, your intention is for "consistent" to modify what you have been doing. That purpose is better accomplished by an adverb:
"I have been consistently studying English."
I feel that is much better because "consistently" now modifies the verb "have been", and that is what you want.
To further convince you that the adjective form is a poor choice, rewrite your sentence in this identical way:
"Consistent, I have been studying English"
in which "consistent" clearly modifies "I". It is not wrong but it sounds odd. I don't think it sounds natural.