You can not directly transfer apps from one device to another, but when you backed up files with Asto they are stored in Backup folder of SD Card, when you get the new unit and place card in new unit and restore apps the same way you did on the original device, the only thing is that some apps requires account authentication to grant full access to app and those apps will still be installed from market to show a full version instead of a trial.

Your contacts will automatically restore to device after you log into Google on your new device after you program the device.