Ok so now I'm done. I changed the oil and all went well. Filled the fuel up and added some STA-BIL fuel stabalizer. Cleaned it a bit and covered the snorkel-hole (to my surprise it had been removed by a previous owner), also covered the exhaust pipe. Removed the bettery and got myself a CTEK charger.
It is stored in a warehouse and I didn't have much more time before they had to close the place up for the day. I were to lubricate the chain and cover some parts with WD-40 but I didn't have the time. But I guess it ain't so bad since it's going to be stored indoors and heated.
I also were to change the spark plug and topfill the cylinder with some oil but the previous owner, also to my surprise had not left the spark plug tools in the bike! But as someone pointed out I don't really need to topfill it anyway so it doesn't really matter. I'm a bit over-coutious sometimes... And do stuff that I don't really have to.
Now, bring on the summer!