Unable To Flash New ROM Or Kernel

So I got a Galaxy Note running the Ultimate Jelly Bean ROM. In other words, that was the ROM on the phone when I got it.

I wanted to install CM9 on the phone, so I went and grabbed the HydraCore kernel. The phone was already running Philz kernel, as the Recovery indicated.

Now, when I tried to install the new kernel, the update would begin, then nothing would happen. A short while later, the phone would reboot back to the ROM.

I tried this several times.

Next, I tried to wipe the ROM to flash CM9. Again, the phone would stop on the update, then reboot to the Ultimate Jelly Bean ROM.

I even tried the built-in ROM-wipe feature in the Recovery; the same thing happened yet again.

Then I tried to flash the HydraCore kernel through Odin. The flash was successful, and the phone boots up (with this triangle I just learned about), but won't boot the Ultimate ROM.

I can still reach the Recovery, though this time, the phone kinda hangs in the middle of attempted updates.

I am lost on what to do next! Please help!