Yes - recent research shows that immunisation significantly reduces the risk of cot death. Research has shown that sheepskins are not a risk factor if your baby sleeps on their back. Sheepskins are a risk factor as soon as your baby starts trying to roll over onto their front. Then take the sheepskin away. My baby won't settle on the back.
Babies settle easier on their backs if they have been placed to sleep that way from the beginning.
If your baby won't settle, keep trying. It may help if you give them a cuddle, sit them in a car seat or sitter to get them used to back sleeping. My baby keeps rolling onto her front. Babies who sleep on their backs are safer and healthier. Should your baby vomit they are not more likely to choke if on their back.