Jailbroke and installed several apps. No matter what I add/remove, when I check settings>general>about, the info never changes, it reads 24 apps, and 13.9G free. Where can I get more correct info from my springboard?
Apps can be very small files, less than 1 MB. That's a drop in the bucket for a 8-32 GB iPhone. Is it possible that you are just not noticing the difference because it is such a small size? Try syncing a movie to the phone and then check.
Yes, the number of apps should change. I'm not sure why it's not. Another thing you might want to try is letting the battery drain down until it dies. That's recommended once a month anyway to recalibrate the battery, and it might be worth a shot.