You can consult with your vet and do tests to check if additional vaccines or shots are required. But so far, everything seems right for your pup.
Our puppy had the same at 5 months. Kennel cough is only needed if you plan to send your pup to daycare at any point as she will be playing with other dogs. Tests can be done to check their immunity from Parvovirus, Distemper and others to help you determine other needed vaccines/boosters