Default Question regarding the modification of the Sony Xperia Z

Greetings to everyone, I'm new here

I'm here with a question regarding the modification of the Sony Xperia Z which I have googled, alas, to no avail.
Okay, here goes;

I recently rooted my phone, installed CWM and flashed DoomKernel for my Xperia Z..
However, I've recently read online that Roms and Kernels are two different things, and hence I'm wondering if it's possible to flash BOTH DoomKernel and another custom Rom (and get them working together?)

For e.g. DoomKernel and CyanogenMod, or FukLag Rom..

Any replies or help would be appreciated, thanks!