Does Comments with Images work on my host?
Very likely. However if you use Bluehost, it’s a big no. They recently made changes to their servers which prevented plugins like mine from working. They state that’s a limitation of their shared servers so having a dedicated server with them will allow you to use the plugin.
If you want to use this plugin, or plugins like this plugin I would suggest changing hosts. If you would rather not, I would suggest complaining to Bluehost.