Paris, France is captured by Germany.  Since the French capital has been captured, can an Allied power move a land unit into any French territory during “Non-Combat”, place a control marker on it and take the IPC from that territory?

Based on the rule book it appears that the French territory would need to be captured by an Axis power first before an Allied power can liberate it and then take the IPC value.  But, the rule book seems a bit vague; looking for clarification.

The Japanese have a MIC on Kiangsu.  The territory has a Chinese control symbol on it.  So, if the U.S. takes over the territory the 3 IPCs goes to the Chinese economy.  But, can the U.S. use the MIC to produce out of it?