Hi there!
WP Offload Media Support Team here, Thanks for reaching out with your query we would be happy to assist!
When it comes to image optimization, we recommend EWWW Image Optimizer. We continuously test our product with theirs, and we’ve also written a tutorial on how to get up and running with WebP images and EWWW:
https://deliciousbrains.com/webp-wp-offload-media-ewww/
You should also have no issues using WP Offload Media for your media library alongside a caching plugin like WP Total Cache or WP Rocket. However, if your caching plugin includes an option to cache the Media Library via a CDN you should turn that setting off as it will very likely conflict with WP Offload Media. More info here –
https://deliciousbrains.com/wp-offload-media/doc/compatibility-with-other-plugins/#caching-plugins
If you are looking for other plugins we are compatible with, you can check this page:
https://deliciousbrains.com/wp-offload-media/doc/compatibility-with-other-plugins/
Please let us know if you have any other questions!