I think @jess hit the nail on the head with her response. I agree with her points.
It was difficult for me to get a sense for what the page was about within the first 5 seconds. It takes a lot of reading. Try featuring a big and bold headline at the top, and maybe bump the video higher up on the page as well.
Also, I’d change the text for the “Submit” button to something more descriptive, such as “Check Availability” or Claim My Day."
Overall, nice design, but because there is so much text and so much white and gray on the page, it is difficult to focus on any one section. I’d use a little more contrast and imagery to break up the text.
Also, the date form fields don’t display fully for me. The day and year fields get cut off. Maybe it’s just my browser. Just wanted to point it out.
Best of luck with the page!