Can I continue B.Ed at regular mode & M.Sc. At distance mode at a time? Is distance B.Sc/M.Sc acceptable in teaching job?

No it is better you end one course and then join. B.Ed is a demanding course you will not get time to focus on Masters and since you will show your degree at job it would create issues. Joining and ending year should not be same. Distance B.Sc. And M.Sc. Both are accepted in teaching job. All the be