Yes, it’s been cooked!
Yes absolutely fine to eat cold cooked meats when pregnant. I'm a sous chef so one thing I always kept an eye on when eating things like this is how has the food been handled/stored after cooking and before eating cold eg storage temperature, as this helped me work out the risk of food bourne illness.
Yes? I’m assuming you’re asking because you’re pregnant? But the turkey is cooked so it’s fine to eat hot or cold