That is quite impressive for a first time garden! It looks like you have a great start on the season and you are very fortunate to have so much room.
Since you said that you are open to suggestions, I would like to address a few things you've mentioned. Justwannaow's suggestion of a soil test at your local extension service is a great idea. That way you'll know what the pH of your soil is and what nutrients might be missing or unbalanced. You can do that next year if you like.
If you eliminate the peat moss you probably won't need the lime.
After this I put down some garden lime. I applied two different sizes of pellets of lime. One was powder for fast acting lime. The other is pelletized and will take longer to break down this will help neutral the soil and raise the peat moss's low P h.
Again, a soil test will tell you what is needed, BUT the best way to change the tilth (texture) of your soil is to add organic material. One of the best ways to do that is by adding compost. The pH of compost is neutral and it's full of good microbes, helps soil to not only retain moisture, but aids in drainage. I usually suggest a 4" layer mixed into the soil to begin a new garden. If your soil is very heavy clay, you can also add 1" of sharp sand to the mix.
The soil contain here is very heavy. It is mostly clay. So What i had to do was prep my soil with what i think it needs.
Peat moss is low in nutrients, high in pH and once dry is difficult to rewet. Ever water a houseplant that has dried out and notice how the water just sits on the surface for a long time? In addition to that there is concern for the loss of the peat bogs.
Most plants like a medium where it drains well, receives air, and retains moisture. The medium I picked does all three. The items in my medium include:
Two 3.8 foot cubed compressed peat moss. Peat moss will make the soil less heavy and help with air and water retention.
Ten bags of top soil with peat added to enrich the soil with a nice dark color. This will also help hold nutrients in the soil.
I used a 5 gallon buck of vermiculite. I like vermiculite better than perlite because it holds more water. It also provides air for the roots and makes soils less heavy.
Unless you are making raised beds, you don't need more topsoil. You already have soil, so the best way to go is to add organics such as compost to improve it. Bringing in topsoil adds the risk of bringing in weed seeds. Compost heats up as it degrades and kills most, if not all, weed seeds. Here's a handy compost calculator you might want to keep so you can figure out how much you might need.
Vermiculite can get expensive so I reserve it for my potting mix. Just using compost, and maybe some sharp sand, would eliminate the need for vermiculite in your garden.
This site has all kinds of wonderful info about soil and I think you'll enjoy reading it.
Here's some great info about soil, nutrients and compost you should also find helpful.
You might want to consider starting your own compost pile so you'll have some for next year.
I think you've done an amazing job and I love how resourceful you were in obtaining what you need. I can't wait to see how your garden grows.
When weeding, the best way to make sure you are removing a weed and not a valuable plant is to pull on it. If it comes out of the ground easily, it is a valuable plant.