Just a comment, but pullups are not on the Army's APFT. The APFT is 2 minutes push ups, 2 minutes sit ups, and then a 2 mile run. You would be well advised to do everything above the bare minimum (a C at WP is getting 70's in all categories point wise. You can find a chart online that shows the point system. 60'is in the real Army is passing).
I wouldn't worry about practicing specific exercises for WP besides those on the APFT. There are always new exercises the cadre will find.
The most you will run in one time is about 5 miles although our's was done at a ridiculously slow pace. It would behoove you to be able to do this comfortably though, because one of the things that gets people isn't that they can't necessarily run 5 miles, but can they do a runs day after day without time to really recooperate. Being comfortable running a lot will greatly reduce your chance of getting shin splints or something else that can make your summer a whole lot harder and more uncomfortable.