I do have a small section of board I burnt to the right of the right most pin, the topmost layer is coming up a bit
I'd be concerned about that part, personally. Without seeing some clear pictures of the damage, though, its difficult to say whether you have a problem or not.
Soldering guns (if I am thinking what you have) are typically used for large joints on metal (such as sheet metal); but you haven't posted a pic of your gun, so I don't know what you really have (I have, for instance, a soldering gun that puts out over 100 watts - its a big monstrous thing).
You want to look for an iron/pencil that puts out about 15-25 watts or so for general purpose thru-hole electronics soldering.