I stayed at a Courtyard in Ottawa on a priceline booking. I asked whether I could still get points/miles, the answer was yes, I just need to sign up -- so I did.

In the application I chose to receive AA miles instead of Marriott points. However, now I received my membership kit and it seems I got points anyway,

338 points * 2 nights and
338 points new member activation offer

First of all, was I eligible to receive points at all? Second of all, can I ask Marriott Rewards to credit me AA miles instead, since that's what I chose in the first place? And if so, how much AA miles would I get? (I looked at their website, but due to the priceline booking, it's all unclear to me).