The '84-'87 GL1200 series has been prone to stator failures. Check stator output and continuity between the three phases. Look for corrosion at the stator, R/R, and starter solenoid connections. Some of the 1200 series have had their stators replaced by Honda and/or hardwired instead of the dreaded plastic plugs which are prone to corrosion and meltdown backing the heat up into the stator. In order to replace the stator, the engine will need to be removed from the frame. Last time I heard, it was $1,000 to change the stator at the dealer.
IIRC, the Aspencade model has the LCD dash/guages which could be problematic and difficult to repair/replace. The same goes for the Type III radio system.
Otherwise, the GL's are bulletproof.
I own an '81 Interstate and an '82 standard.
Both are the GL1100 series('80-'83)
Unless it is in absolute pristine shape, 2K seems a little steep to me regardless of the mileage. Showroom quality specimens go for $2,500 to $3,000 and I'm talking trophy winners.
"FRIENDS DON'T LET FRIENDS EARLY APEX."