Yup, your baby's neck is just fine. and YES they can, and will, get sunburned. Ouchie-wa-wa!! We have several, and we're in central Texas. A couple days of too much sun really reddens them up. Make sure they have access to shade.
CUTE baby!! Turkens are some of my favorites - especially as babies! They are great mamas and good layers, but we've found the males to be a bit aggressive and never stay too long past maturity.