I'm going to disagree intensely with all 3 of your points. Forgive me, I'm not trying to pick on you, just clear up a misconception.
1, No, they didn't. Let me reiterate "The Norsemen and the Anglo Saxons spoke the same language, and had no problems speaking to each other." When some of them landed at France, Took Normandy and then later, became the Normans, they didn't have any problem making the French king aware of their terms. Seriously...They had no problems with communication. They traded as far as Constantinople and the Rus. you can't trade without communicating.
2, There are only a few records of fur clothing. there are mentions made of bear and wolfskin clothing, but only in regards to berserks, who were WIDELY disliked. In 1015 King Erik of Norway outlawed Berserkers. (there's an entire religious/cultural thing about berserkers that I'm not going to get into here) Their main articles of clothing were Wool tunics, wool pants, and woolen winnegas, leather was largely used for belts and shoes, and cloaks were made also of wool. There's not much material culture found to support fur clothing, outside of the Rus having a tendency for peaked fur caps. Sorry, there's just no evidence of it.
3, While widely disliked in parts of Europe for their tendency to raid, as in point 1, above, They traded goods far and wide. They were accomplished merchants. In one case there was a crocodile skin bag found in a ship burial in, IIrc Norway, which suggests trade with Egypt as well. They were well traveled, able to make business deals with foreign powers, and dressed largely like everyone else.
Viking isn't the name of a people, it's the name of an action, That action being raiding the coastlines of other countries, performed mainly by the early AD people of Norway, Sweden, Greenland, Iceland, etc. There is no more a viking culture then there was a pirate culture. It would be largely if England decided to spend their winters raiding the US coastline for riches.
This largely illustrates my point. "everyone knows" the vikings were inarticulate, fur wearing, primitives, despite evidence to the contrary, and the fact that stating that might be say, offensive to anyone descended from 5 or 6 countries in europe. The same way that "Gypsys" are of course, thieves, Kidnappers, prostitutes, etc. This is an unfair, largely wrong and potentially offensive stereotype.
If you want to play a viking style Barbar, Do it up! Do it right, do some research into their actual culture. but FFS, don't go by "everyone knows" because what "everyone knows" is usually entirely wrong.