With the old MQ protocol all the response queue and connection information is stored in the service image response meta-data. The connection/queue information is all in the 'dest.*' meta-data properties. The queue name itself is in 'dest.destination'.
If you already have multiple responses in your VSI transaction but all their meta-data point to the same queue, then you can just change the queues on each responses' meta-data to make them go to different queues.
If you are adding responses to your VSI manually, then you will need to manually transfer the meta-data from an existing response into your new one and then change the 'dest.destination' property. If you can re-generate your service from RR pairs then I highly recommend doing that and using side-car files to make this process easier. There's a reason the new version of the MQ protocol doesn't depend on having all that information in the meta-data.
Finally, with multiple responses going to different queues, you will need to make sure your VSM's 'Respond' step has the 'Share Sessions' checkbox unchecked.