I'm getting a gurgling/choking sound from my toilet along with a poor flush.

A new toilet was replaced and moved to another location in my 2nd floor bathroom (6-7 feet from an outside wall to an inside wall). Should this 2nd floor toilet have its own vent stack to work properly? The toilet is approximately 6-7 feet from the outside wall vent stack and the pipes from the toilet for both the waste and dry venting are in the floor until they meet the original placement of the old toilet.