Best wal Mart .22 for hunting?

I went with the Benjamin .22. He is 11 years old. We live in the country, and he is bery familiar with .22 rifles, .410 shotgun, and AR 15, so he has been schooled on gun safety since about 3 when he started shooting. I just am still not ready to turn him loose with a firearm, and will not even let him take this out unless alone, or with me. I know how kids are, used to be one. 😀 Im hoping he can take squirrel and rabbit, not too mention pests like pond turtles, birds, and at least harrass ground hogs. Thanks for any and all input.