which comes first, Scotts Turfbuilder or lime?

 Hello,
I live in western New York State.  My forsythia just began to bloom.
I am trying to rejuvenate my huge lawn.  It's in very bad shape with
countless weeds of every variety, much moss and bare spots.  I know I
need fertilizer, weed killer, and lime.
My question is which do I put on first - weed and feed or lime?
Thank you,
Dennis