Solution
OK, so, Peter was kind enough to work with me last night to get this resolved (that guy is awesome....and patient....and kind enough not to laugh at me or tell me what an idiot I was when I finally realized that the problem was PEBKAC....Problem Exists Between Keyboard And Chair)
Here's what I had setup incorrectly:
In the email settings, I had the incorrect login information. What it wants is the user ID and password for your email account, not your osTicket login. It helps to read what you're actually filling in but sometimes when it's 2AM and you're doing something like this it gets a little fuzzy. I had entered in my osTicket login info instead of the email login info. See screenshot below.
I had to then enable the fetching which I had done once before and it caused a new ticket to be created for every email that existed in the account at that time. In other words, if there was an email in there from YouTube telling me about the Gangnam Style video reaching a billion page views, a support ticket was immediately created with that information. So, be sure to clear out the email BEFORE you activate this.
Also be aware that this is accessing your email account and will do what you tell it to. Case in point, I had it set to "Delete Fetched Emails" thinking that it would delete new emails that were created for support. Instead, it deleted every email in the account, in this case, 8 months worth of support emails.
Thanks again, Peter!