What was the extent of military conscription by the German Army during World War 2?
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I think your questions are impossible to answer with any precision, except possibly for the first point. Especially at the end of the war, things got confused and desperate.
A number of services proliferated which were not quite Wehrmacht but certainly fighting, like the Volkssturm (kids and cripples with any weapon at hand, from ancient to most modern), Flakhelfer (pupils serving AA batteries during alert), but also Hiwi (POWs who became military auxiliaries, not always willingly).
At the end, accusations of hindering the war effort (and refusing to fight certainly counted) would get people executed by court martial. Nazi court martials passed about 30.000 death sentences, 23.000 of them were executed. Not all of those sentences were for desertion, and not all desertion sentences were about conscripts refusing to fight.