What do these puns mean?

Question

I have puns that I don't get it and actually need them for translating an essay. Can anyone help me, please?

1. “Have you heard about the guy whose whole left side was cut off? He’s all right now.”

and

2. “Did you hear about the par-a-dox? . . . Doctor Shapiro and Doctor Miller.”

Answer 1

1) All right (only has a right side) = Alright (not in any danger/fine).

2) Par-a-dox (paradox) = Pair of docs (two doctors are being referred to).

Answer 2

1) He's all right [okay] [only has a right side]

2) paradox [pair of docs/doctors]