What evidence lead rutherford to propose that the atom had a nucleus?

When he shot radiation through gold foil, some of the radiation shot back, some went directly through, and some slight angled off.

Explanation:

He knew that the radiation that had gone all the way through had not hit anything.

He knew that the radiation that came directly back must have hit a big nucleus.

He knew that the radiation that angled slightly off must have hit a smaller, orbiting particle (electrons).

i believe you are right for all except the 3rd ( look at sqdancefan his answer is much better)