Answers:
1) We could do nothing with "Three clicks selection" because it's defuned by a xulrunner's behaviuor.
2) Selection of the 2 first characters – it's VPE logic bug, but as in the above answer – it's defuned by a xulrunner's behaviuor. I.e. in nsISelection on the third click focus and anchor nodes get inappropriate values (the selection range consists of 2 letters but no text is selected in the mozilla editor).
3) <f:selectItem> in <h:selectManyCheckbox> could be udated to use <div>s in its template. That will allow to select the text by the 3 clicks.

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