Yes. It's correct. " love" [transitive verb] means to like something very much or enjoy doing something very much we use " love to do something" { love + infinitive with to} ........or "love doing something" { love + gerund} e.g. we love to go out to restaurants. we love going out to restaurants. both sentences above are the same meaning.

"Do I love to travel?"

Yes, it is. Also 'I love travelling'.

Yes it is correct. You could also say "I love traveling."

Yes it is correct. In italiano it is (mi piace viaggiare)