Deck Continuous Rim Joist Connection
the rim joist does not rest on the beam... Should I do that?


You don't need to, the beam is supporting the weight bearing joists.


  How should I connect this rim joist?


In the "Joists" section of the document you linked it tells you: "Attach a
rim joist to the end of each joist with (3)10d nails or (3)#10 by 3-inch wood screws."

You have to fasten the rim joist to each joist as directed (with 10d nails or screws). You also have to strengthen the rim joist wherever it will be supporting a guardrail post, as directed, with anchors.