Actually does not look too bad from the photos. The fact that the engine runs is a definite plus, probably a bit hard to assess its condition, but if it started easily and runs smoothly (well, to the extent the diesel ever did) there can't be too much wrong with it. 
If the chassis and bulkhead are free of serious rust (try poking holes with a screwdriver in any likely looking spots!) - check bulkhead, particularly floors, around the vents, rear crossmember, front spring hangers, base of all the outriggers, and anywhere else that looks rusty - then you could consider a price of $1000 plus.
But you said you had a budget of $2000 - with this one, ignoring any surprises (and there are bound to be some) you can expect at a minimum to have to do the following:-
spring bushes, brake wheel and master cylinders, hub seals, just because it has been standing. 
Likely costs - tie rod ends, swivels, ball seals, expect to have to replace some lights due to rusted sockets. Since you will have to remove springs to replace bushes (and derust and lubricate them), expect to have to replace at least some shackle bolts, U-bolts, centrebolts, possibly some shackles.
If you decide to repaint it, this is best done with it in bits - and if you do it yourself, the paint is not expensive - but some other things are, particularly the cost of replacing rubber bits such as door seals, wiring grommets, blanking plugs etc. There are a lot of these and the cost adds up - when I repainted my 2a, rubber bits were by far the highest cost.
All the above assumes you do the work. Refurbishing an old Landrover is labour intensive - and the cost will go through the sky if you pay someone to do this!
As I said, it looks a lot better than your intial description suggested.
John
				
			 
			
		 
			
				
			
				
			
			
				John
JDNSW
1986 110 County 3.9 diesel
1970 2a 109 2.25 petrol
			
			
		 
	
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