Galaxy note 2 n7100 not booting into recovery

Hello there! Welcome to AF

I've added some more info to your thread title to attract more views and get more help.

Sometimes booting into recovery can be tricky. In this order, hold down the home button, then while holding that button, press and hold the volume up button. Now, with both of those held down, press and hold the power button. When you feel the screen vibrate, let go of the volume up and home buttons while still holding down the power button until the recovery screen shows.
Try that
As far as installing a custom recovery, steps 7-8 did not work? --or did it indeed work, but now you are having issues booting into it?

 

That first pic looks like download mode (odin mode) accessed when you choose the volume down button in the 3 button combo, instead of the volume up button in the 3 button combo (to access recovery).
The other 3 pics just look very odd, as the screen looks borked unless it was just when the pic was taken.

Try reflashing the recovery via ODIN and untick the "reboot" in ODIN. When the process completes, unplug from the computer, pull the battery, reinsert the battery, then try the 3 button combo to get into recovery.