Is it normal for pest control companies to build their own crawl space doors?

Custom-built doors are pretty normal for this kind of work, and honestly a well-made site-built door can outlast some of the flimsy manufactured ones. But what you're describing isn't a well-made door. A finger-wide gap at the bottom is a fail on its own terms, since the whole job was exclusion. Rats don't need much of an opening and a gap that size is an open invitation, expecially once the plywood warps more and pulls away from the frame. Warping after two months in Georgia humidity is also predictable, which is why most crews that know what they're doing use PVC trim board, pressure-treated lumber sealed on all edges, or at minimum primed and painted plywood, not raw ply left to soak up moisture.

The other thing that jumps out is the hardware. No latch and deck screws into brick means those doors aren't really attached to anything. Deck screws aren't made for masonry, they'll work loose, and a door that just sits there can be pushed or pried off by a raccoon or a determined rat. I've seen critters pop friction-fit panels right off. You want concrete anchors or Tapcons into the brick, hinges that actually carry the door, and some kind of hasp or latch. It doesn't have to be pretty, it just has to be tight and secure. So yes, push back. Don't demand manufactured doors, just ask them to redo the doors so they're gapped-free, fastened properly, and built from material that won't warp. If the salesman described them as new doors, that's your leverage, because what got installed doesn't meet a reasonable definition of that. Get it in writing and give them a chance to come back before you escalate or dispute anything. If they stonewall you, a handyman or carpenter can redo both doors in an afternoon for not much money. The exclusion work on the rest of the house may still be fine, but doors are the weak point they charged you to handle, and right now they didn't.

Agree with pushing back before you hire anyone else. When my crawl door did something similar, swelling up so bad it wouldn't shut all the way, I took photos with a tape measure in the frame and emailed them instead of calling. Made a big difference because they couldn't argue about what I was seeing. They came back out and rebuilt it with a latch and proper hinges, no charge, since it was under thier warranty. Check whatever paperwork your dad signed, most exclusion jobs carry at least a year on the seals and gaps. If there's a warranty section, that's your angle, no need to argue about whether it looks nice.

First post here so sorry if this is a dumb question, but did anyone check if the mesh over the vents is actually fastened tight? We had squirrels getting into our attic a couple years back and the critter guy left a similar setup, and within a month something had peeled a corner of the mesh back where the staples were too far apart. Nobody caught it till we heard scratching. Might be worth walking around the whole house with a flashlight and checking every spot they touched, not just the doors, since a crew that rushes one part probaly rushed the rest.

One thing to check while you're at it, don't let them seal every last opening airtight. My crawl space needed some airflow or you get moisture and mold problems down there instead of rats. If the house isn't fully encapsulated with a dehumidifier, those vent openings have to actually vent something. So when they come back to fix the gaps, the goal isn't zero air movement, it's blocking critters while still letting the space breathe. Some crews go overboard on the sealing side and trade one problem for another. Ask them what their plan is for airflow before they redo anything.