I think that's a big worry for most. Talking about it to coworkers and friends really helps!! My first loss was as a basic emt, we went to a 'nosebleed' and it turned out to be a hemorrhagic stroke. I think it was harder to see the family deal with all of that, there was a lot of arguing going on right in the ED (until the nurses took them into another room) about life support or to let her go.
My first burn patient was before I got my emt cert, (just first aid/cpr certified), I was at the state fair and there was a big explosion at one of the food vendor booths. He had second and third degree burns on the top half of his body, he had not been wearing a shirt, only jeans and boots. Saw a lot of pink areas and lots of skin hanging off, and his eyes were full of pain, that's what hit me the most. Again, we talked about it afterwards and I was really surprised that people I didn't even know came up to me and told me they were available to listen if I needed to talk.
I did ok with both of those calls, I think knowing that we took care of our patients and did everything we could for them, made it easier to deal with. And don't ever be afraid to ask to talk---never keep it bottled up. Chances are if something on a call bothered you, it bothered someone else too.
Good luck with everything in NY!