Yes these things are possible, but you may need to do some dev or go to Marketplace to get customisation like this done, as it’s a little involved.
Yes, it can be done, see Topic List Previews, where you can Like from the Topic List directly.
yes, see: Topic List Latest-Post Excerpt for an example.
For a client, I’ve once implemented a list of thumbnails to the Topic List that includes the latest images from the Topic.