Self Portrait at the Easel by Jens Juel 1766

Jens Juel (1745-1802)

Is that a muller on the window sill?  He shows up with this hat in other self portraits, is it sheep skin hat with the wool on the inside?

Detail: painter, portrait, window, curtain, bottle, small glass bottle, brushes, pigments, shell,  pallet, easel, canvas, shirt, waistcoat, hat, chair