miners/pool add transactions after transaction found?

[energystar]

Ok. So, a pool operator gives work to his pool miners.... a miner hashes a block and it is under target... the miner sends the nonce to the operator?

Is this how it works? Where does the second AES-256 hash come into play?

After the pool operator receives the nonce... can he then add an extra transaction? or does he need to do this before he sends out the work originally?


ps. does the original work contains all list of transactions for the block? or do the miners compile the transactions together?