Is WP Rocket compatible with WP Touch, WordPress Mobile Pack and WP Mobile Detector?

Yes. We have automatic compatibility with several mobile plugins, including WPtouch (free), WordPress Mobile Pack and WP Mobile Detect. For these plugins, both our mobile caching options will be enabled by default:

Visit our mobile caching guide for the full list of mobile plugins we detect automatically:
Mobile Caching

For more specific info regarding WPtouch compatibility please see this guide:
WPtouch not working