Good long list of stuff.
3. You mean the beach waypoint near the statues? That is just decoration and is not supposed to work. The ones in the Homestead are not supposed to be working either, except the Observatory and Hall of Heroes ones.
6. If you walk one step at a time, you won't fall on the ice. Trying to run across will make you have to roll a saving throw against falling.
13. Some quests may not have quest markers, but some definitely should.
15. That area is working properly. You just haven't figured it out yet. It's quite a tricky puzzle.