You can find the part on Ebay for a couple bucks or go to Local Power Tool Supply which will charge you $5 - $7 bucks. JD BC1600 was made by Homelite and I believe the Carb is a Zama H46 24A.
Also check for rotted out fuel lines, mine had both these problems after leaving mixed fuel in the tank for a couple years.
I replaced the primer bulb & fuel lines for under $10 bucks and she runs great again!
JimSmith, September 2009