Iceman survived the Tiger's Claw, as evidenced by the fact that he's one of the people flying around afterwards in the WC1/2 Official Guide.
Here's Hawk's past related, from the script...
<Hawk> Missed you at mess this morning.
<Casey> Yeah, I wasn't hungry.
<Hawk> You weren't in the mood to eat. That's not the same as not being hungry.
<Casey> Do you have a point, Colonel?
<Hawk> Blair. You're still blaming yourself for what happened. It's tearing you up inside. I can see it. Are you having nightmares about him yet? Sit down, Lieutenant. You know, on one of my first missions in the last war, I lost three wingmen, including two bunk mates. I was ready to sign for a psych discharge. I was a wreck. Couldn't sleep. Couldn't eat. Just kept seeing their faces every time I closed my eyes. This Major took me aside. He said, 'They're dead and you're not. Get used to it.'
<Casey> Yeah, easy for him to say!
<Hawk> Yeah. But not so easy for him to sign on as my wingman. Which he did! Next mission out, he's got my six. I'm not in the groove yet. He had to kill a clan of Cats until I got myself together.
<Casey> Who was it? Blair?
<Hawk> Your father.
<Casey> My father?
<Hawk> Now, get some sleep, get something to eat and forget about Blair. You're a good pilot and you're still alive. You should try to stay that way.
<Casey> Is that what my father would have said?
Annnd...
<CAG> So, these are your mission objectives. And if there's no further feedback from Hawk or Maniac? Then you are dismissed. Good luck.
<Casey> You okay?
<Hawk> I joined this man's space force to skin Cats, not to hold their paws. I feel like I was better off in the Union of Border Worlds. At least there we knew who our enemies were.
<Casey> Look, Hawk, you like it or not you're going to have to put all this behind you. Like I did with Blair. You taught me that!
<Hawk> You ever read the mission report on the day your Dad went KIA?
<Casey> Yeah, he was on a deep space patrol in the B'shriss system when the Kilrathi jumped him.
<Hawk> But, one small detail was omitted from that report. Blair found his lifepod. Brought it in. Iceman was inside-- in pieces. The Cats pulled him in, had their fun, and sent him home. Not exactly a hero's death, huh? So, we omitted it from the mission log to spare the family. Trust me, kid. I know you're trying to help. But I owe those Cats a whole lot of payback, and so do you! See you on deck.
And of course...
<Casey> Hawk was a good man.
<Spyder> Hawk was nuts. All work and no play. A real load of laughs.
<Casey> You sound like you didn't like him.
<Spyder> I understood him. He couldn't help being who he was. The Cats made him that way. Hawk's home planet was Mylon Two, a colony at the edge of the Rim. One of the Cats' first targets in the Galactic War. They terraformed it with proton bombs.
<Casey> How did Hawk survive it?
<Spyder> He was away at the Academy. Came back to find everything and everyone he had ever known had been blown to dust. Hawk died on Mylon Two, today was just a formality. Hey, kid. Hawk would've wanted you to have that.