If Paul is the only person to have the contingent property of being on David's right in the actual world, then the rigidified version of that property belongs necessarily and exclusively to Paul.
The second response involves moving from contingent properties like those involved in (2) and (3) to necessary properties, and in particular to what, following Plantinga in (1974), we will call an individual essence, which is a property that, necessarily, if x exists, then it has that property and, necessarily, only x has. The property being on David's right is not an individual essence of Paul, as Paul might have existed without having had it and Charles might have had it instead. But it is eas