What you described is normal. The new layer will not peel away. The 1st layer of skin will grow over that too. The white bumps are probably your skin pores.
The skin should be red and swelling. You should have pain and peeling skin. The skin should be white or slightly charred. You should not apply any ointments including Silvadene
A second degree burn will cause blistering and swelling. Oftentimes, the entire layer of skin will be removed as well. You should definitely use an ointment such as Silvadene.