The picture is not contempory, and is a picture romanticized in the 19th century, of the students in a corps of copenhagen. A small unit, and prone to unorder. :)
The follwing picture of the crown ceremony of 1660, is contemporary.
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Here it a excerpt i discussion forum of 1/6 models. Scroll down to the middle, where you can see a unit.
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Any dutch model would probably do, since our knowledge is weak.
What you see is probably the royal guard in yellow, queens guard in red, and ordinary regiment in white/grey.
I would use north star 1672 range