The pass needed to enter any park that has an entrance fee pretty much depends on the level of government the agency running the park is at. Each of these is a separate "park system," with their own fees, totally separate from the others.
Michigan State Parks:
The sticker on your tag (an extra $11 when you renew your Michigan auto registration) is strictly for the
Michigan State Park Recreation Passport State Parks/State Recreation Areas... some of which have DG courses. Holly and Brighten Rec Area are the two local courses in this system. Once in the park, no add'l fee for DG.
Metro Parks:
A series of parks scattered across the 5 counties that comprises the metro Detroit area. Park Entry fees are $10/daily, $35 annual window sticker. Disc golf fees are an additional $3/daily, $55/annually. There are six DG courses within this park system, most of which are very good to excellent. Hudson Mills (2 courses), Stoney Creek (2 courses), Kensington (1 course), Willow (1 course).
Washtenaw County:
Park entry is: $10 daily for non-county residents, $45 Annual pass. No add'l fee for disc golf. There are 3 courses in 2 parks, all of which are very good to excellent: Independence Lake (2 courses), Rolling Hills (1 course).
If you're planning a trip to bag courses in this area, it makes sense to save your daily pass, and hit both Washtenaw county parks the same day. Same thing with the metro park pass.
There's also Addison Oaks (Oakland County Parks), which is the only DG course in the Oakland County park system.