Do people actually recover from panic disorder and other anxiety problems? I take ssri and understand CBT but still no relief

More than Understand. It's important to remember the other two letters in CBT. You may have the C w/ your understanding - but the B means guided Behavioral practice and it is critical. The T means therapy and that is not DIY. After a course of treatment, your therapist might think that you've advanced enough to try it on your own and just return for boosters if needed. These are real skills to acquire. Try it for real.
Yes. Yes. With proper treatment, both medication and psychotherapy, symptoms may remit over time. Psychotherapy and developing proper coping strategies are almost always needed in order to get off the medication effectively.