I just got off the phone with Marriott Rewards customer service; they had to post my 3 missing stays manually. For two of them they couldn't even see any bill data and had to call the hotels. E-Mailed receipts didn't get sent either. All in all it took almost 30 minutes on the phone to get resolved.
It seems clear that they had some sort of computer issue but the rep seemed to be completely unaware of this being a problem for multiple people.
Kinda sad that even United is getting flights posted quicker than Marriott is at the moment.