The Tiger Rock AR-15 7.62x39 Bolt Carrier Group should cycle steel cased ammunition fine due to the ultra-hard and corrosion-resistant Black Nitride finish which ensures this BCG's continued reliability and precision. Although in cannot be guaranteed as there can be many variations and factors such as bad ammunition.
Yes. You should no issues using the Tiger Rock AR 7.62x39 Bolt Carrier Group with an AR15 style multi cal lower receiver.
Yes, as long as your AR is designed to take AK mags and properly index them to the bolt.
Yes it will work, although your questioning is in need of spelling and grammar attention.