What is the dimension for the carousel slides?
Width: 970px
Height: 414px but the height can be whatever you want. The carousel area will expand or contract based on the actual height of your slides.

What version of Font Awesome is being used for the icons?
It's Font Awesome 4.7.0
https://fontawesome.com/v4.7.0/
https://fontawesome.com/v4.7.0/icons/