https://www.hondapartsnation.com/oemparts/c/honda_engines_gcv_series_gcv530/parts
see above website to make sure you have correct carburetor. have you drained old gas & added fresh gasoline? did you replace carburetor gaskets with new?
https://www.google.com/search?q=10+amp+battery+charger&oq=10+AMP+BA&gs_lcrp=EgZjaHJvbWUqBwgAEAAYgAQyBwgAEAAYgAQyBwgBEAAYgAQyBggCEEUYOTIHCAMQABiABDIHCAQQABiABDIHCAUQABiABDIHCAYQABiABDIGCAcQRRg8qAIAsAIB&sourceid=chrome&ie=UTF-8
Suggestion: pick up a tube of "Dielectric Grease" & apply liberally to...
https://www.ccpartsnmore.com/cub-cadet-service-manuals
https://www.mtdparts.com/en_US/all-products/manual-pto-lever/647-04151.html
Why are you removing lever?
what grade fuel you using? two cycle oil?
https://static.stihl.com/api/BaOnline/Download/ZBA0458-253-0121-B%20%20%20%20%20%20%20%20%20%2010ZBA/0458-253-0121-B_ZBA_10_01.PDF
See page 8 regarding gasoline grade, Instruction Manual above.