Are your Pro benefits still current (eg if you bought 6 months worth of Pro it needs to be less than 6 months since you purchased)? If your benefits are still current then you can download a new Pro installer from your personal download link... the link in the email that LW sent you after you bought Pro
If your Pro benefits have expired - do you still have any Pro installers saved? If you have a Pro installer saved, copy it to a flash drive or CD & then you can save that installer to your new laptop & install Pro there
If your benefits have expired & you don't have any Pro installers saved then you're out of luck