Even 1 day in May qualifies as the fifth month. Even if classes end in April and the graduation ceremony is on May 1, May counts as the fifth month.
For most students, the graduation year is the 5th calendar year of attending school. There is a 4 time limit for claiming the more generous American Opportunity Credit. If you already claimed it 4 times, you may have to settle for the lesser Lifetime Learning Credit (LLC) or the tuition and Fees deduction (TFD).
