Hi Allison,
I’m sorry that you’re running into these issues…I took a look at your homepage, and it looks like that view is coming from your theme or another plugin (it is not one of the default views from The Events Calendar/Events Calendar Pro). Can you try running through these steps to see if the time is being displayed incorrectly anywhere in a default environment?
For the cutoff, can you try changing this in the settings from 2am to later (such as 2:30am)? As long as the event ends before that time that you have in the settings, it should still only appear on one day.
Thanks,
Jennifer