I would greatly appreciate any help with this, as I am rather getting confused!

I am trying to model the adult population of a bat species (single-state). I have seven occasions, each representing a season. I ran GOF of simple CJS model in UCARE separately for the group of females and the group of males, and found a significant result on transients for females only, i.e. test 3.SR was not significant, but the test for transients was.
My questions concern initial global model I should use and how estimate a c-hat for the global model.
So…should I use a global TSM model for both groups ie taking into account transients for both females and males, although males did not have a significant transient affect? In which case, the model would look something like: phi(sex*a2-t/t)p(sex*t).
Or would it be better if I started with a model not taking into account transients for males? In which case it would look something like: phi(female*a2-t/t,male*t)p(t).
In fact, I assessed best model fit for females only and the best one was phi(a2-c/c)p(t), so I thought I could use phi(female*a2-c/c,male*t)p(t) as a global model, which again I am not sure if it is right.
Given initial model has been decided, which GOF would be best applied and how would estimate c-hat?
I know that GOF accounting for transients is done by adding component test results minus test 3.SR and this is c-hat estimate is based on this, but I am a bit confused as to how to apply this in my case.

Thanks very much for your help in advance