Have I burnt my MAX II by excessive soldering?
Pin 100 doesn't look soldered and there are a few spots where there could be shorts (or maybe just reflections). As rdtsc says, clean it well and look at it under a good microscope or magnifier, tilt it to see if any solder has gotten in behind the leads.
I would poke at any leads that look like they might not be soldered first (a dental pick works well), fasten them down to make sure they don't get bent, and then scrub the leads with a brush (one of those free ones from the dentist works well) and 99% isopropanol.
Make sure you have fresh solder wick of appropriate size from a reputable maker. Doesn't hurt to throw some liquid flux on there if you have to touch things up (a flux pen is a handy way to do that).
It's unlikely you've damaged the chip with a soldering iron. Usually the board gets damaged first.