Solving haar wavelet transform

Question

I am trying to understand the haar wavelet transform. Could somebody confirm if my answer is correct or tell me what I am doing wrong. This is the problem I tried to solve:

If anything is unclear, please ask.

Answer 1

If I compute the fast wavelet transform (FWT) of r using the Haar wavelet filters, I expect to get r1. So if that was the question, r1 is the answer.