First notebook entry: Introducing myself

My name is Luiz Henrique. I'm learning English because I graduated in (1) Production Engineering production engineering and me this may open many doors in the future (2) for me.

1) You don't capitalize "production engineering"; the capitalization rules are complicated but boil down to if there is one unique thing, capitalize it. For example production engineering is not unique but the university where you got your degree is.

2) "For me" is a prepositional phrase and can be almost anywhere in the sentence.  

Very good, Luiz Henrique! I would suggest this minor correction:

"I'm learning English because I graduated in Production Engineering and me this may open many doors for me in the future."