Do i have to pull my babys for skin down after circumcision?

Generally not. There are several techniques used to perform a circumcision and the method used is not clear from the post. However, I don't see any need to do anything with the babies penis after circumcision beyond keeping the site clean. Questions about further care can be directed to his doc during well kid visits.

After a proper circumcision there should be no foreskin to cover the penis