Well since you didn't say cooked frozen WHAT, there's really no way to be sure
The thing if cooked frozen is that thing you cooked frozen.
Food which has been cooked can be frozen, even if it was frozen prior to cooking. BUT Frozen food which has been thawed, but not cooked, should never be re-frozen. Nor should food which was cooked, frozen and thawed.
Yes, cooked salmon can be frozen for later consumption.
Yes, you can safely freeze ham after it has been cooked. After thawing the same frozen cooked ham, it is unsafe to freeze it again.
yes you can unfreeze frozen food that has been already cooked and eat it
Yes, frozen cooked shrimp is ready to eat without further cooking as it has already been cooked before being frozen.
Check your label! -I've NEVER heard of an UN-cooked spiral-cut ham... On that label will be a company contact number...
The meat arrives raw and frozen and is cooked via broiler from that frozen state.
Yes, a person can refreeze cooked rice. Cooked rice can be frozen for up to one month as long as it is frozen in an air tight container.
Carrots are better if they are cooked before being frozen. Cut them, boil them until they are tender, allow to cool and freeze them.
Yes, provided it is thoroughly cooked.
Frozen - Cooked.