In your video we can see some significant asymmetry; his right wing is sitting much higher, and further from the body, than his left wing. Asymmetry is a clear sign that something is wrong. I would definitely get him checked out by an avian vet when possible. If you are unable to get to an avian veterinarian by tomorrow, some veterinarians, or emergency animal hospitals, will prescribe pain control while you wait for an appointment with an avian vet.
When you see the avian vet, mention the clumsiness. Something might be causing him to be off balance. Healthy birds shouldn’t be clumsy enough to cause significant injury; if they fall, they should be able to recover by flapping.
Thanks for reaching out for advice- it can be scary and stressful to hear that your little buddy might be hurt. Make sure you’re taking care of yourself too.