Yes, all listed waypoints which are under your Favourite, can be retrieved. Please follow the steps below:

On Garmin BASECAMP, follow these steps: #

Connect the GPS unit to your PC / MAC.

Open Garmin BASECAMP.

Look for the GPS unit listed under devices on the left-hand corner of the screen and click on Iinternal Storage.

The waypoints will be listed under the Internal Storage window. You may then save the waypoints under My collection (Edit > Send to > My Collection) for easy retrieval once needed.

On Garmin MapSource, follow these steps: #

Connect your GPS to your PC.

Open Garmin MapSource.

Select Transfer> Receive from device.

All the waypoints saved under your favourites on your GPS will now be listed on Garmin MapSource.