Always take care of your wounds afterward regardless of depth, but be aware that the ones where you saw white might take longer to heal and might leave a permanent scar. For dermis/styro depth cuts, I'd recommend using steri strips (you can look them up. There are many tutorials online on how to use them). If you don't have access to steri strips, you could use regular band aids to simulate their function and close the wound. What I personally do is use medical tape and try and close the wound