I'd test 5 things:
FC and CC (use the 10ml mark, not the 25ml mark--save your chems and 10ml is all you need for accuracy--I rarely if ever bother with 25ml)
pH
T/A-Total Alkalinity
CH (calcium hardness, just for reference. Unless your CH is really high you won't need to bother with it again till closing)
CYA/Stabilizer/Condition

Ignore the acid demand and base demand tests. For 99.99% of us they tell us nothing and confuse us. For pool pros like Ben (PoolDoc) and Chem_Geek they are occasionally useful, but most of the time, they don't use them either.

If you have a pool thermometer, the temp wouldn't be a bad thing to know.

You can't test metals with the K2006, but don't worry about that for now.