It would be difficult to provide you the information regarding admission possibilities  as JEE Main is being conducted twice by NTA for the first time and rank will be based on NTA percentile score.

Based on this score your probable rank will be 27,005 - 31,005 and your probable category rank range will be 6430 - 7430, With this rank the chances are there to get a seat in top NITs but chances seems less to get the core branches.

NOTE : Rank Predicted is on the basis of the expected total number of students i.e. 1152650 appearing in the JEE Mains April Session.

Good Luck!