Basically, as you expected, varying degrees of independence. Colour outline and a grey background is a state run by Germany with a semblance of independence. A grey outline with a colour background is an independent state under the direction of Germany (Ukraine should be like this but I forgot). A grey area of another state is just an occupied zone.
Correct
Well there is the named revolt, which was essentially a nationalist revolt of tribes in the mountains against French rule, and then there is the actual Moroccan monarchy who were pretty much destroyed militarily but not totally destroyed prior to the war.
That is, as you say, the last holdouts of Italian authority in Libya. Historically Italy failed to really pacify Libya and largely only held the cities on the coast until Mussolini's days. There is also the Republic of Tripolitania which was established during the war as an attempt to reverse Italian colonization, while rejecting the senoissi.
That has become Reichsland Luttich - Liege.
It is indeed the joint Anglo-Arab occupation of Syria, more on that later. Shading in Italy is the ongoing civil disruption in the north, more on that next update.
Speaking of which, next update: Italy.