i was wondering the same

Is there a way to fetch movie results which also contains the account info(watchlist, favorite, rated) list in single API request.

There is no way to do that right now. It's a feature that I have had planned for here on the website for a while. Once it exists here, it will likely exists on the API as well. The website ticket for that is here.

Also, the recommendation section contains movies that I have already favorite.

I don't filter favourite items, I filter rated items. Rating is considered the same as having "watched" something, so that's how I filter watched items out of your recommended lists.

Thank you Travis, I have seen apps which shows movies list also showing watchlist and favorite information much quickly like its shown from the single api request. Is there any way I can fetch personal info quickly rather than calling each movies id repeatedly for personal information.

On a per item basis, you can call the /account_states method.

There's nothing that supports a list of IDs at this time.