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There is some serious alignment issues here (in relation to text). The text below the SIGN-UP! is just out of place.
There is a girl holding a horse ready to throw it in direction of a deer shouting HEJ! - I am not sure what is a target audience for it and how that helps in conversion of a visitor into a customer.
Don't mix vectors and illustration. Ther is really no excuse there - if you don't have enough illustrations, buy some stock on Fotolia or iStockPhoto.
Change the background into something that will play nice with the rest of your artwork. Even a blurred paint strokes will work better than this.
I really like the crayon outlines around different boxes and the menu idea. Rainbow has some really good colors and adds vibrancy. Great job for a beginner!
