I'm N7105 user.
I must say that the battery life is much much better than on the N7000, however as it has a large screen it still uses a lot of energy.
So I will compare the battery life (on N7105) to other devices:
-Much better battery life than on the n7000
-Seems close to the S4 Zoom battery life
-Uses much more battery than LG L9 II (D605), as it had a great screen (very bright).
I'm a very advanced user of smartphones, I have a lot of apps installed, however the battery will last untill the evening. It uses like 27% for 2h10min. (browsing internet).
Also please keep in mind I'm using Android 4.1.2, the new 4.3 uses much more energy.
Talking about display, it's good. I don't know if You've already seen it, but the angles and colors are good. However minimal brightness won't be enough for daily use (as it was in LG). Also android 4.3 has some issues with auto brightness, as it gets simply too dark.
And about the protective case. I always use rubber like protectors for the back, and it does a great job. You don't have to worry if the phone hits the ground, it won't have any damage.
And for the screen, I only use a basic screen protector (against scratches).
If You would like to know more just PM or quote this text.