1 - If you mean were FJ posted into other units , the short answer is no. They did operate in conjunction with other units in close co-operation and under command of other units , as post Crete there were no large sclae airdrops of FJ and they fought mostly as ground infantry. Also , by the latter stages of the war most new drafts of FJ were not jump qualified and could include trrops transferred in from other Luftwaffe units.
2 - No, there are different versions of FJ camo eg, splinter or marsh, and in the later stages of the war they were seen to wear more oand more regular infantry items of uniform and equipment, such as Luft FD splinter camo jackets,GJ jackets,standard infantry boots or mountain boots.standard metal gasmask containers,infantry stahlhelms etc
3 - FJ had their own uniform trousers , obvious by the cut and items like the gravity knife pocket at the knee.
( just a note , Fallschirmjager were part of the Wehrmacht which comprised of the Heer or infantry,Luftwaffe and Kreigsmarine. These were the regular armed forces of Germany. A distinction is drawn between Wehrmacht forces and those such as the Waffen SS which were originally a politically controlled paramilitary and not under OKW control)