Hello and Welcome LetsGiveEr:
Doesn't it just get your goat to pay a professional to do a job only to have to finish it yourself? Of course, there are some of us who would say don't pay the so-and-so until he does it right. But then, there it is and now we need options. I have a few thoughts:
1. at the fireplace take a piece of 1"x4" wood that can be stained to match the laminate; let the front (next to the fireplace) remain 3/4" thick and rip out a pocket on the back to accomodate the laminate.The mantle pilasters can be cut off to let the wood slide under them for an easier fit.
2. at the doorways you could cut the casing off 6"-8" and stand a piece of 5/4" wood in the place of it. It probably should match the color of the casing. Then, if you still have some of the laminate, you could rip a piece to fit in the place by the door frame.
3. another option that's out there is carpet strip; an aluminum strip to be screwed down and break over the side to cover the space. I used that one last because I wouldn't do it for anything; its just an "option".
4. the only other thing I can offer is to tie the goat in a different place so thay can't get it the next time.