Sorry to hear this! I hope you have a backup or use our Cloud Backup service? If you did use the cloud backup service you can download your latest cloud backup from the portal directly to your new computer.
Download Logbook Pro to your new computer, install it, activate it with your issued code (click here if you need assistance finding it). Restore your prior and recent backup on startup by choosing the RESTORE option when prompted with the NEW / OPEN / RESTORE dialog.