PS3 display problems

[maverick22]

I have a couple of questions:

1) I'm almost positive my nephew's TV is 1080p. However, when I go into "display settings" in the ps3 menu, and then I try to check "1080p" (then it tests the TV), the display is awkward. It doesn't look right. I just leave it on 1080i. I KNOW before we switched rooms though 1080p was working. What is causing this problem--a 1080p TV which is only doing 1080i?

2) Even when on 1080i, when I load NBA 2K (which goes up to 1080p), it displays 720p at the beginning of the game. Why is that? Shouldn't it at least show "1080i" since that's what the ps3 is set on?

Thanks in advance!