I played my very first Kill Team game a little while ago (before Christmas, actually). It was pretty good, but it took more time than the hoped for "play a game at lunch time" duration. Makes sense though, since it was the first game for both of us.
I wrote up a battle report as well, it starts out like this:
"Alright folks, I need some volunteers," yelled SrSgt Penny. "Who's wants to get a big screw?"
"Erh, sarge, is that a trick question," asked Pte Langobard. "What kind of screw are you talking about because..."
"Because you're wondering what sort of clever joke I'm setting up, is that it? But no, Langobard, I mean that actual mission objective over there with the code name 'big screw' because that's what it looks like."
"Oh, because you see I was hoping..."
"Yes you were, but you're out of luck."
"Unidentified infantry spotted! They look like they're moving to engage!" The banter between Penny and Langobard ended abruptly as one of the spotters called out the warning.
"Looks like you luck might change Langobard, you may get screwed after all. Alright folks, pull your socks up and point your guns at the hostiles! We're not giving up our big screw without a fight."
You can read the whole thing here, if you're interested.