Actually form you list it looks like you only need 290 and 291 since you have passed 270 and 620
Looks like you need 70-290 and 70-291 for the core requirements. The 622 does not count at all towards MCSA.
Your 70-620 can count as either your client or elective, and the A+ can count as half an elective. So if you took 70-270 or Network+ or Server+ you would complete the client and elective portion. Or you could take Security+, which would be my recommendation.
So you are 3 exams away.
3. Security+ or Network+ or Server+ or 70-270.
He didn't list 270.