@Jules197:
Law won't lose his Shichibukai title. The government doesn't really care about the Warlord's private business, as long as they get the job done. Kuma didn't lose his title despite helping the Strawhats escape from Kizaru, Doflamingo didn't lose his title for attacking marines / running an auction house (although we don't know if the goverment was aware of this), Hancock didn't lose her title for attacking Smoker / Pacifistas and protecting Luffy during the war, Crocodile didn't lose is title because of what he was doing in Arabasta, Mihawk didn't lose his title for ignoring pretty much every order, Moriah didn't lose his title for doing weird experiments and creating zombies, etc.
Law will only lose his title if he gets defeated by another pirate. As long as this doesn't happen, he can do pretty much whatever he wants, including attacking a vice-admiral.
My only argument to that is despite Luffy beating Croc and needing an excuse for his defeat, the WG did find out he he was the cause of the civil war in the country. Pretty sure they had no idea what he was to with Pluton, but no way the WG would not care about that.
Doflamingo running the auction house means nothing as the WG allows slavery to exist. Even the marines in those areas are taught to view it as something that doesn't exist.
As for Hancock it just seems to be that the whole world realizes she will attack anything and everything in her path and that's that, especially men. Like she say's she'll probably always be forgiven. Though what ever Law is up too, I doubt he will lose his title just yet.
Mihawk may not show up to the meetings often, but when does he ignore pretty much every order?
If they knew what Moriah was planning with trying to become the next Pirate King, chances are they would care quite a bit.
Even if Kuma lost his title it would mean absolutely nothing, because it was only a matter of time before his mind would be gone anyway. Had what ever deal he had set up not been affect I bet he would have lost his title too for helping out the Straw Hats. But even then it wasn't clear he had helped them until a week or 2 later during the war and Sengoku was pissed.