SUMIFS - Across Date Range, Time Range, and by City

Hello All,

I'm trying to see if it's possible to use the Sumifs formula to add up the number of support tickets received for a specific city, across a date range, and broken down by hour.

Current Formula (see attach spreadsheet and the Atlanta section of overview):
=SUMIFS('Raw Data'!$E$4:$E$967,'Raw Data'!$A$4:$A$967,"<="&$C$4,'Raw Data'!$A$4:$A$967,">="&$C$3,'Raw Data'!$B$4:$B$967,"="&$C6)

This isn't giving me any results. I'm thinking that I'm using the wrong formula or I am forgetting a parameter. Is there any help that you guys could provide?

Thank you!
- Adam