Hi,
one thing I noticed: you write that you tap the screen after it lights up. You shouldn't have to tap it. The caller ID should just come on after the screen lights up. It sounds like when you tap, you put the phone application into the background and the info screen is called to the foreground.
If you didn't do anything after the screen lights up, does the caller id show?
If your phone is unstable and you have to soft reset it every day, maybe it's a good idea to back up your stuff and do a hard reset.
Also, check out S2u2
http://ac-s2.com/ as an alternative to the lock screen. This app includes a full screen caller id. In the settings you can chose to use it or the native caller id screen.
