You should try to avoid getting hung up on job titles, they are usually very generic and do not contain enough information as to what the role may or may not involve.
Am I a UX designer?
This is the wrong question. What you should be asking is: "Do I have experience with UX design?"
For example, if you go for a new job advertising for a UX ...
If you cannot pay an external agency or service to do your recruiting, you will need to do the work yourself. Put out screeners on LinkedIn and Twitter. Find the communities that your target audience would most likely be.