Hello,
I've spoken with BDOG about each of the various punishments you're appealing. I'll just reply in chronological order based on what you've given.
Warning One
BDOG claims he had told you off for the prop abuse previously that day, and were caught doing it again. Not only that, but that you had spawned multiple props and not "prop" as you stated singularly. This punishment will not be removed seeing as Admin's word is final and the punishment seems valid.
Warning Two
BDOG didn't entirely remember the situation here with you shooting him, but said he wouldn't have warned if you just accidentally shot someone. He claims you definitely did RDM a player and that's why you got the warning. The punishment will not be removed for the same reason as before.
Warning Three
BDOG claims the player reporting you was trying multiple times to bait you into RDMing their minigun 2.0 until you finally did. I saw the short 5 second clip, but BDOG claims he saw a much longer version with prior context of the situation where what you did was still RDM. The punishment will not be removed for the same reason as before.
Warning Four
I've spoken with BDOG about this one and he understands his mishandling of the warning and why it wasn't RDM. This punishment will be removed.

Your most recent RDM warning punishment will be removed!