The phrase, 'check off' means 'to mark as verified, examined, etc.' Eg: After I finished shopping, I took my shopping list and checked off all the items. The phrase, 'check up' means 'to make certain about something by checking it'. Eg: Please check up the train timings once again before you leave home.
Given the meanings as above, the phrases given in options A, B and D cannot be used in the blank to form a meaningful sentence. Hence, these options are incorrect.