My two cents:

Outside of licensing and whatnot, which you should definitely look into, one idea to build experience is to approach friends, family, and your neighbors. Do work for them, and ask for them to review your work. You can also go on Facebook and NextDoor and appeal to folks there for small jobs, and work your way up. You might even consider getting a job with an existing company and working your way up that way.

My state requires a specific degree in landscape architecture to get a license. It sounds like, without it, all you can be is a landscape designer.

I know next to nothing about your field, but it seems to me that you have what's needed: I'm having a hard time imagining anything missing, seeing as you already have designs CADed together that you can show off.

Is an internship an option, just so you get some practical experience? If I were to translate your situation into a field I k own better, you'd probably end up in the category of "probably qualified, but lacks experience", which is the common catch22 job seekers have been faced with for the past couple of decades, so it might just be a matter of continuing to apply places that might give you this practical experience.