If I have 2 PSN accounts on one PS3, can I download 2 games on each account with the PSN Appreciation Program?

My boyfriend and I each have a PSN account on the same system and we've both had them since way before the network went down. I was wondering if we are each allowed to download the complimentary two games or if we're only allowed two games per system. And if we are each allowed to download different games, can we access the games the other person downloaded? I know that before, when I downloaded a demo on my account, he could play it on his.