I have flashed every single rom for Note 2 that has been released here in xda.
I have also flashed a lot more that never come out to open.
My phone is like the first day I bought it, even better now that I use custom roms on it.
I think I have the right to tell you this:
Its not the rom, ITS NEVER THE ROM'S FAULT.
Its our phone and in most cases, if its not a user mistake in steps flashing the rom, its hardware related.
Even if its rom's fault, you should always be able to boot in recovery, if you have successfully flashed it.
From there you can do everything that is needed.
Wipe , format, eliminate everything that may cause your phone from booting.
Then connect it to pc and transfer in it, a rom you know it was working for you, flash it and reboot your phone.
If your phone is dead as you say, first check for your battery.
If no sign of charging, try to charge your battery to an external source, before you try again putting it in your phone.
Check your cable , your charger. Prefer wall charger and not pc or laptop connected to charge.
If nothing of this helps, take your phone to a service.
Dont look for software , its hardware.