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I also wonder if you could both use checkboxes and radiobuttons for the tree?

Yes, the tree can work in mixed mode

enableRadioButtons(true)

//switch all tree to "radio" mode

enableRadioButtons(item_id,true);

//switch only childs of item in question to "radio" mode

I hope this information will be enough for you. But you also can have a look at ajax table grid and events templates.