[Q] Need help with compatibility check Siyah Kernel on NeatRom topic

Hi guys,

I have rooted my i9100 (JB 4.1.2) and flashed it with MS2 NeatROM v5.6 Aroma, which works fine except for the battery life which has plummeted dramatically since I've flashed it. Now I'm hoping to resolve this issue by flashing SiyahKernel S2-v5.0.1 (wish I could post a link but I can't because Rooky forum member).

My questions are:

1. Is the Siyah kernel I’ve selected compatible with my device and ROM? Will it work?
2. How do you check compatibility of kernels vs. installed rom and device? Phone firmware? J
3. Can kernels in general improve/influence battery life?

Note!!: I am NOT looking for an opinion on how the combination ROM, Kernel, and Device will turn out, or which is best, I am merely asking if my selected Kernel is compatible with the ROM and device. I am new to rooting and do not know what details in flashed ROM and device specs to pay attention to when selecting a kernel, hence my questions.

Phone details:
SGS2 i9100 (JB 4.1.2)
Current kernel: 3.0.31-1484249 dpi@DELL177 #3 SMP PREEMPT Tue Dec 3
PDA: XWMS2
Phone/firmware: XXMS4



Thanks a lot for your help!