Recently I spilled water on my laptop, and it broke. I got a new laptop, but I need avast premium, from my old one back. Is there a way I can do that, or should I unsubscribe? Thanks 
You should be able to install it on your new laptop and assign the original license.
See this topic for direct download locations, https://forum.avast.com/index.php?topic=226462.0.
Once you have it installed, log on to your my.avast.com account from the avastUI and you should be able to assign the original license.
Or you could try the resend avast License https://www.avast.com/resend-license-paid.php, you will need to enter the email that you used when purchasing the license, e.g. the one that the original email with the link was sent.
Sorry, but I forgot to say I had avast cleanup, not premium. But your comment helped me, and I think I’ll be able to get it back! ;D
You’re welcome.