I am honestly no expert on plant IDs esp house plants with many different varieties but regardless this plant obviously is a horizontal grower. Hope it’s doing well!

I am not sure. Maybe you could gradually lower the stakes/support over time so it can adjust?

You have a monkey tail cactus. For awhile they grow vertical and then once they reach a certain stage they droop down and grow downward. If you Google monkey tail cactus you can see a bunch of photos. They look very lovely in a hanging basket.