Only speaking to California, educational counseling can be a bit competitive, but grad programs everywhere skew a little under-enrolled at the moment. You're correct that inexperience is a bit of a weakness, and everyone else is also correct that you shouldn't worry about it and just focus on putting together the best package you can.
As far as your resume goes, create a functional-style resume highlighting anything you've done working with students, and anything you've done in an advisory role (stretch as much as you can, even something like training coworkers in a retail setting illustrates capacity and experience). Put together the best package you can and hope for success.
If the application/admission process doesn't pan out as you'd hope, I got my start in higher education working in an admission department. They're always looking for people (it's a LOT of work a pay can be minimal), and you may be able to get into an institution that offers tuition remission so you can attain your educational goals while you learn.
Another backdoor in is to take a course or two before applying. This will depend a lot on the culture of the school. USC was the very first link that came up with a web search for "educational counseling master's" so I'll use them as an example. Linked is the course schedule and I found: EDHP 500 Foundations of Higher, Adult, and Professional Education. You can get in touch with the instructor and ask if you can take or audit the course for your own professional development. Frankly I doubt anyone at USC would say yes; they're big and a little hoity-toity, but many state school professors in the same region would be cool with it. Who knows, maybe USC would allow it. (It's good for a department's numbers to have the class cap reached, so even if there's one available seat in a course, they have good reason to allow a community member to take the course.) Reapply the next year with that credit in your resume and a rapport with the professor established.
Good luck on your apps! And remember, even if you don't get in anywhere, it doesn't mean STOP, it just means WAIT.