Just to be clear on terminology, that's not a laminate floor. That's an engineered hardwood floor.
The problem that you're going to run into is that adding or replacing planks without having original planks (attic stock) to use is that, if you can identify the product, trees are not perfectly repeatable, like a man-made product. Anything new is either not going to match, or is going to need to be stained and site finished to match. Depending on the soil composition that a tree grows in it will take stain differently.
This looks to be a 3" wide hardwood, the market has moved towards wider planks (5" width and wider is the new "standard"), so you may play havoc trying to find 3" wide plank in engineered. I wish you luck, but I think you've got quite a challenge in trying to find a match.
As to the installation, it appears to be stapled over OSB. While it's an acceptable substrate and installation method, OSB is a horrible substrate for stapled installation. It does not hold fasteners well and can be a problem, long term. It also doesn't appear that the original installation used any type of barrier, such as roofing felt or Aquabar under the floor when installed. Not the end of the world, but would have helped in protecting from squeaks and minor subfloor imperfections.
Just for arguments sake, I prefer to do a glue down over OSB for engineered hardwood. It's slower, and more messy, but makes a much more problem free installation.