I have a craftsman lawnmower 917.376780 with a Honda engine, it says the family is 3hnxs 1871ak. Lawnmower wont start. tried cleaning carb and reassembling. still did not start. Was going to by a carb kit but could not match engine info. what is engine # or where is number located? Any thoughts how to proceed with repair? What comes in a carb kit?

I have a Crafstman (Poulan) chain saw, model 358.355161. It was running fine today, then kind of started acting like it was running out of fuel, and quit running, wouldn't start. Wasn't out of gas, so I checked the tank filter, it was o.k. Checked the plug, it was clean, and had good spark when I spun it over. Checked the air filter, which was dirty, cleaned it. I didn't see a lot of crud under there that would be blocking the air either. Still no start, EXCEPT with the air box cover removed. It will start and run fine with the cover off, but the minute I put it back on, even loosely, it won't run. The carb (Walbro WT I think) is adjusted according to the excellent instructions I found on this forum (roughly 1 turn more or less each on the lo speed and hi speed screws). The thing is, it seems to be spraying a lot of raw and atomized fuel back out of the venturi when I give it the gas. So, does this point to a carb problem, or is there something else more sinister going on? I looked at most of the related threads on this forum, but didn't really see this problem.