Congratulations on the purchase.
I cannot really help with the cooling issue but some things to check.  Obviously coolant level, splits in hoses and air in the system - there is a bleed screw on the top hose that goes through the firewall from the engine bay to the cabin - on the passenger side (well there was on my much earlier FL1).
If the VCU test came up OK then the noise at the rear is unlikely to be the VCU - when it locks it stays lock and you would pick it up when slow driving in tight circumstances.  You can now get new VCUs for about $1000 plus an hour or two fitting.   Check the UJs on the drive shaft.
The noise could be the rear diff.  The front diff mount on the rear diff has a short service life - usually about 80,000km and can allow the diff the knock or touch the body passing vibration to the body.  
I am afraid some investigation will be required.
Garry
				
			 
			
		 
			
				
			
			
				REMLR 243
2007 Range Rover Sport TDV6
1977 FC 101 
1976 Jaguar XJ12C
1973 Haflinger AP700
1971 Jaguar V12 E-Type Series 3 Roadster
1957 Series 1 88"
1957 Series 1 88" Station Wagon
			
			
		 
	
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