Car Related Points of Interest in CH

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I'll likely be spending circa 5 days in the area of Zug during the third week of October. So I'm looking for any suggestions on car or motorsport points of interest to visit. Collections, museums, routes of interest etc Will also be in Gruyères for a day, so any ideas for stuff to see/do in that area are also welcome.
I might also have some time in Liechtenstein, but that's not certain yet. Also up for any historic points of interest, and views of landscapes/lakes/mountains etc

All suggestions welcome.
Thanks in advance.

[Corso Marche]

Thanks for that. I'll try and find info on both of those.

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Is there any place online which supplies live updates on whether the passes are open or not? I drove them 11 years ago in the last week of September and all were clear, but I remember one was questionable. Can't remember which pass, but think it was in the east of the country.
Must see if I still have the route maps we used then.

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Many thanks for that.

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Cheers, that sounds another good one to add to the list. I was in Lucerne in either 2015 or 2016, pity I didn't know of it then, but it's on the must do list now.
Thanks.

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Many thanks all -- greatly appreciate your input.
Have taken note of it all.

[Corso Marche]

Cheers Mole. Thanks for the suggestions. Keeping note of them all for future visits.