You can install Hulu on your Fire Stick if you're in the USA and have a 2nd generation or newer device. Just search for "Hulu" and install it on your Firestick or Fire TV.
If you're having trouble checking your Hulu email, understanding the underlying causes, such as typos in the email or server issues, can solve the problem. Checking your email input, clearing your browser cache, or contacting Hulu support can also help you get back to streaming quickly.
If you need to charge AirPods with another case, you can do so. You can use either an original Apple case or a third-party case that supports your AirPods.