Default C6606 Qs

I recently got a C6606 T-Mobile branded Xperia Z. It is network unlocked though I am on T-Mobile. It is running the 10.3.1.E.0.191 Android 4.2.2 factory ROM.

Got a couple questions.

Firstly, I would love to root it. Nothing seems to be working. From my reading rooting this ROM is hit or miss. Any tips?

Second, I am assuming the stock ROM is odexed.

I would also like a camera app or addon that will give me full manual mode on the camera. Any out there that will work on a stock ROM?

If I change my customization to that of the international C6603 and install a 4.3 ROM will I lose the LTE and have to use the *#*#INFO#*#* menu to re-enable it or will I be SOL?

Any good guides on installing ROMs? Can I install a custom ROM with a locked bootloader?
Asus Transformer TF101 4.4.3 KatKiss ROM
Sony Xperia Z C6606 Android 4.4.2 Stock ROOTED
Malibal P150HM1
-Win 7 Pro
-8GB RAM
-i7 2630QM
-GTX560m