Salman, now that both Karnataka and Kerala have closed their online registration process, you cannot register. This registration is valid for all rounds held in State Counselling. And so unfortunately you cannot register now. With a score of 353, though you qualify in NEET MDS, without registering for State Counselling, you cannot secure a seat in State Quota even in Private Colleges. So you may have to try for Direct Admission in these Colleges. That is the only way out.