That and so much more. Just install and try it, most of it is really self-explanatory. If not, there's always the extensive help.
1) In your library, you will have a node Files to Edit — Duplicate Titles
and Duplicate Content
. The former shows tracks that seem to be duplicates based on tags. For the latter, you can activate Audio Fingerprinting in MediaMonkey's options, so it actually analyses the audio of your tracks, and notifies you if you have two identical ones in your library.
2) Right-click, Auto-tag from Web..., choose a search result and you're done.
3) In options, go to Auto-Organize and set up a new rule. You can write your own strings using many functions and variable. For example, I have something like:\Music\$First(<Genre>)\<Album Artist:1>\<Album Artist>\<Year> - <Album>\<Track#>. <Artist> - <Title>
which will yield something like\Music\Trip-hop\M\Morcheeba\1998 - Big Calm\01. The Sea.flac
You can choose to use different rules for different parts of your collection, for different genres, for syncing to different devices, etc... and there's probably nothing you can't express