How to show dates and times separately?
I had to do something similar recently. I created a views page and outputted the same Date field twice. I also had two different date formats set up. One showing only Month and Day, and the other format only showing time. Then I assigned the first "Date" field the date format, and the other the "time" format. Afterwards I was able to style them as I pleased.

In the field date settings, I had it to where it also showed multiple, but only first and last with a " - " seperator in order to output "September 11 - September 14" for example. The same can be done for the time formatted field.