Removing plug from receptacle kills whole room circuit
First, post a TaskRabbit to get a handyman out to replace the defective socket.  One hopes the handyman knows to check the break-off tabs.  

The light switch does nothing for a reason such as 


When you checked receptacles, you only checked one socket per receptacle, because you didn't realize receptacles could be split. 
In the past, someone replaced receptacles, and didn't check the tabs. 


You can find the undiscovered socket.  A competent handyman can find the mis-replaced receptacle.  

But have the known-bad receptacle fixed first.