As for your second question (organized missionary activity), the answer is clearly No.
There is one possible allusion, a papal letter of Pope Alexander III (r. 1159-81) that loosened the degree of the kinship for the marriage in order not to be regarded as incest specially for the inhabitants of 'a certain island in the ocean [the North Atlantic] in 12 day's journey from Norway' (Latinske dokument til norsk historie fram til år 1204, utg. Eirik Vandvik, Oslo: Det Norske Samlaget, no.11), but most of the recent researches agree that this island was probably Greenland (contra cf. Seaver 1996: 33-36). All the other papal sources from 12th century, mainly in form of the list of episcopal 'towns' (I checked at least 3, so-called 'Florence list', foundation charter of Norwegian metropolitan by Pope Anastasius IV in 1154, and the Book of Census (Liber Censuum) in 1192) did not mention any Norse settlements further remoter than Greenland (Garðar, Eastern Settlement in England). As I wrote briefly in What knowledge did mainland Europeans have of Iceland, Greenland and Vinland during the Middle Ages?, at least some Popes and HRE emperor in the 13th century like Frederick II (d. 1250) knew Greenland as a possible source of exotic, valuable animal and bird product, but Greenland was the farthest land they knew.
It might be worth taking the following fact into consideration: It was not until the 19th century that 'Vinland' could monopolize the Old Norse place name of the New World. Other place names like Helluland (possibly Buffin island) and Markland (Labrador Peninsula?) are mentioned in Old Norse texts together with Vinland, and these two places are probably where medieval Greenlanders sporadically took a visit (and knew where they were located in contrast to mysterious Vinland).
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