Of course Russia and Sweden in particular, have a mutual history because of their geograpical closeness. (particullary from a historical perspective, when Finland for most of it's "lifetime" has been a part of Sweden) So needless to say there are quite obvious traces of interaction beetween the two, and of course in particular the western parts of Russia.
The control of the Baltic see, has mostlybeen the source of conflict but of course also served as a link for trading and exchange between people.
About the name "Rus" there is a theory that the name derrives from the name of a Viking "Chieftain", with whom a large numer of slavic people joined to battle, and which, with the "successful" raids of the vikings towards the east and "middleeast", became more and more influential. (roughly!)
However this is a theory, and doesn't neccessarily have to be true!

p.s see scandinavian lounge...