Can Obito's ocular jutsu acces multiple dimensions?
No.

As far as I know,Obito has only 1 dimension.Both Danzou's subordinates and Sasuke,Karin were in the same dimension.

You are forgetting that Obito has a dimension under his control.An entire dimension.Not a room.A dimension.That's another parallel universe.Read more about dimensions here:  https://profmattstrassler.com/articles-and-posts/some-speculative-theoretical-ideas-for-the-lhc/extra-dimensions/how-to-look-for-signs-of-extra-dimensions/how-big-could-an-extra-dimension-be/

Danzou's subordinates could be anywhere in Obito's dimension,maybe millions of miles away,so they would never make it to Sasuke and Karin.