Nice source.  You'll notice that in the PDF under "Rules of the Trails" that Motor Vehicle/ Dirt Bikes/ATVs / Horses are prohibited.  There are access tags that you can add to trails to indicate they are prohibited and dogs are leashes are allowed.  A lot of the features have assumed defaults, but it doesn't hurt to tag they're not allowed as it indicates something explicitly stated they're not allowed.  (You only need to tag the ones that it mentions).

There's also an opening_hours that can be set to "sunrise-sunset".

There's an "alcohol = no" tag

There's also operator tag to indicator who maintains them, there's even operator:phone number so you can put in who to contact about the trail!

None of these are absolutely required to do, but the more information you can transfer from the PDF the more useful OSM becomes as people can easily search for trails that meet their requirements.