I'm glad, you were happy with 3.0!
Let's head on to your questions.
1. The result monitor shows answers to searches from others which flow through your Phex. They don't need to come from nodes which are connected directly to you, but from somewhere on the network.
2. The search filter doesn't affect the result monitor. (You can test it yourself by creating an allways active rule which removes all results with file sizes smaller than 20MiB and then doing a search for "mp3". The result monitor gets results, the search doesn't).
3. I don't know of any - but I hadn't realized that until now...
Would you create a feature request for that in sourceforge?
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SourceForge.net: Feature Requests
Best wishes and happy sharing!
Arne