The conflicts in Xinjiang, Chechnya, and Quebec all have to do with the desire to become a sovereign state.
Most people in Quebec feel threatened that the unique French culture found there would become assimilated with the Anglospheric culture found in the rest of Canada.
Xinjiang is inhabited primarily by the Uygurs, a Turkic ethnic group. Separatists believe that the region did not belong to China to begin with, even though it was illegally occupied in 1949.
Chechnya is in a state of Russian occupation and independence, which goes back from the dissolution of the Soviet Union.
Chine did the only one child policy to reduce overpopulation. I think the second question is just a matter of opinion I'm not sure. In my opinion, I think that the government should intervene in population growth because most of the world's problems link all to overpopulation.