Here's the DIY repair guide for Riding Mowers & Tractors that Won't start: searspartsdirect.com/diy/symptom/riding-mowers-tractor-repair/1234652/won-t-start/ridtr04
This video explains what you should check next: searspartsdirect.com/diy/article/riding-lawn-mower-engine-spins-but-wont-start-video
As the video explains, since you have a mower that will start then die after putting fuel in the carburetor, you don't have an issue with the spark/compression. The video will show you what to check next. The DIY repair guides above have step-by-step instructions for each possible issue.
In the future, when storing a mower with fuel for the winter, add a fuel stabilizer: searspartsdirect.com/product/y5np15w5kr-0071-071/id-33500
You can find all parts and diagrams for your mower on Sears PartsDirect (Click on "View Engine" for engine parts): searspartsdirect.com/model/5oavyyvyrk-000247/craftsman-917271821-front-engine-lawn-tractor-parts
If you need a professional repair at your home, you can call Sears Home Services at 1-800-4-MY-HOME.