I registrated my account with Facebook but I deleted my social page and created a new one. Now, my name changed to a random spotify generated number line. Not much but its so annoying. Can I changed it somehow, or connect the account to my new facebook?
Since your Spotify account was created via Facebook, the random string of numbers is like an ID that connected to your own Facebook profile.
In this case, there's no way to link your new Facebook profile to the old Spotify account, but you can follow these steps to have an account away from Facebook, and link your new Facebook profile to it.
All the best.
“Music acts like a magic key, to which the most tightly closed heart opens.” ― Maria Augusta von Trapp