I agree with what Bret and Dave are saying in terms of the number of covariates you're trying to fit to the model, especially if you're trying to fit models with all of them at once. If you're only doing 1 or 2 at a time, perhaps it's not so bad. That said, I noted for a couple of your p(.) models you have an estimate of exactly 0.5 and a SE of 0. Have you double checked you're design matrix that you actually have a '1' somewhere along the row(s) for p. To me it looks like you may not have.
A SE of 0 with a parameter estimate of 1 is not surprising as 1 is on the boundary of allowable values for that parameter. I'm sure that's been covered here on the forum before and/or is in the MARK book (Evan will chip in any time telling giving us the exact location).

The other thing to remember about MARK is that when you have covariates in the model, the 'real estimates' only apply to 1 particular combination of covariates, not to the entire sample. From memory, I think the default uses the covariate values from the first site in the data. Not sure if you can get MARK to give you a value for every site, but if you wanted that you could; 1) do it by hand; 2)probably do it from within R / RMARK; or 3) use PRESENCE.
Cheers
Darryl