Mel is correct, the only AKC event your dog can’t enter is Conformation. With a PAL number you can compete in all other sports Including agility and obedience. In addition there are other organizations that have dog sports that your dog is able to participate.
Look for a dog club in your area where people train for competition dog sports. I belong to two, one is an AKC and has many dog sports but they are the top Obedience training club. My other club is not AKC and they are the top Agility training facility. My non-AKC club trains for AKC but participates in other organizations for dog sports including agility with CPE, USDAA and TDAA.