Hi Carly!
This is Peter, content manager at Tapastic. I wanted to drop by and answer your question.
For the new release updates, usually it takes anywhere from 4-7 days for it to show up on the main screen. They have to be added manually to make sure that those who have created a series have uploaded an episode, and also to check to make sure that the content is safe for all audiences to view.
Also, the daily update schedule is reserved for Primetime Publishers. If you keep on consistently uploading and upgrading your content, I'm sure you could be in Primetime in no time.