THIS is going to be the hardest part. I don't mind humans getting bloodied, but I've never had the stomach for hunting personally... I know I'm going to HAVE to, so it'll happen, lol, but I'm not looking forward to it.
That's the BEST reason to volunteer to do whatever. Whether its whacking bunny, skinning or gutting thumper, eating the eyeball (vitamins!), tasting stomach contents (totally yuck but concentrated vitamins may save your life), or trying out improvised resource utilization with the hide, this is the only time it really is totally OK to concentrate on it shamelessly. Back home yea you're a weirdo if you go around investigating creative ways to use rabbit parts, but at SERE that's the whole point.
Think about it this way, and start adjusting your attitude now - You don't HAVE TO, you GET TO. I'm not kidding. Every time you start thinking "I'll HAVE TO...", b**ch slap yourself in the face and say out loud "I'll GET TO..."
Nothing can improve your SERE experience more than eliminating that sense of resignation about all the things you're gonna be forced to do, and replacing it in your mind with expectation that you'll get to play caveman, get to try stuff that really isn't socially acceptable, and its all ok because it really could save your life. And it WILL positively impact your operational career if, before you launch on any particular mission, if you're not terrified about what you might "HAVE TO DO" if you eject. You get to do it just once, for free, no repercussions, no shame, no guilt, because its real life not some tv show, not something you read about once in a book. You get one time to try it all out before you take the experiences and tuck them in your bag of tricks for when you might really need it someday.
One of the saddest military survival stories I've ever heard... Some USAF guy had a flameout in Alaska and dead-sticked the plane successfully onto a frozen lake, in a few ft of snow. He got out of the plane, walked to the treeline, walked back to his plane, pulled out his .38, and shot himself in the head. Searchers found his body less than 24 hours later.
Guess what - he probably went through sere thinking he was going to "HAVE TO" do stuff. When he shot himself, he was within 5 minutes walk of everything he needed to survive in style for weeks. The treeline had plenty of materials to make a really snazzy shelter. He had all his survival gear, so he could have made a fire big enough to burn for a month. He had a plane full of fuel dregs which, while tough to get started, would have let him keep a fire going even in a snowstorm. He had a gun to shoot any predators with or maybe even bag himself a baby moose for dinner. All that snow and a fire meant he would have had plenty of water to drink. He had a totally unused parachute which would have made fine clothing, bedding, signaling panels, you name it. His survival kit probably even had a few thousand calories of compressed granola bars and a waxy chocolate bar for immediate energy.
He had everything he needed except 2 things. He probably didn't have a positive SERE experience to give him the confidence to draw strength from, and he didn't have the will to live under challenging but totally survivable circumstances.
Don't be that guy. You don't HAVE to do stuff like skin the wabbit, you GET to whack thumper, eat him, and put on a silly puppet show with his skin at dinnertime (er... I mean demonstrate the utility of the recovered hide for both improvised clothing and morale-boosting entertainment)
If you find a snake then kill and eat it, you'll be my hero of the day and I'll buy you a bottle of just about anything after you get back. Pro tip - Some venomous snakes may have live unborn young with developed fangs/venom so be CAREFUL gutting snakes. But I'm sure your instructors will mention that little detail if/when it comes up.