The answers to your questions will depend on your research context, sample size, event rate, the number of predictors, and their redundancy.
Very generally speaking, you want a model with as good of a fit to the data with as few variables as possible. All of the variable selection techniques available in LOGISTIC are flawed and may not select the best variable subset. They tend to over-include the predictors which may or may not be good for you. The more modern ones such as LASSO and LAR are not available in PROC LOGISTIC at the moment. Cross-validation may also be something you want to look into.