Helping to add OP's screenshot.
-snip-
IMHO more then 10% difference sounds too much, 30% is unbelievable.
Could you please elaborate on the difference between "accepted by the pool" and the "accepted" as shown by awesome miner?
On your scheme that's normal, after all. My statement refers to your mining scheme. Where's Awesome miner located at the local network same as CC miner, many things will affect as I said above.
Hashrate is the number of hashes that your rigs can run per second. It would be different with Effective Hashrate, effective Hashrate will be calculated from hashes that are actually submitted by our rigs to the mining pool, means not all. Then the value of shares in the pool also will different between miners with powerful hashing power and weak hashing power. So that's normal when local report different with pool report. Because calculation doing on the mining pool side isn't at local.
ButIf you believe that something wrong with you mining process, check your connection, it may help you. Or tried to move to other pools.