Thanks for the knowledge, I don't knew that miners can control the min fee to "mine" and others few things...
About the wallet, for example online wallets like blockchain.info, they can control the fee amount to 'help' miners?
Yes, I also think so. Blockchain must be one of the major online wallet that can determine the fees becuse it is the pioneer online wallet and is used and trusted by millions of users. With the high number of users that are faithfull to them, they can easily change the fees and people will still patronize them.