As far as a kit for the carb, Ebay has a new carb (china knock off) for $11 including shipping.
Some here have had good results with them in other applications
ebay # 322993290408.
for that price it is worth a chance if it were me.
Although shipping is 3 weeks out, if it is snowing.
Do check your spark plug and fuel flow first.
could be something simple.
let us know what you find or do, as others learn.
Edit:
as a side note, when it sputters, try adding some choke, if it gets better, you are experiencing fuel starvation. Maybe just water in the fuel????