The correct answers are I really made a big mistake yesterday. and Could you do me a huge favor and forgive me?

In English, we generally use make when we create, build, or produce something (like make a mistake, make dinner).

We generally use do for general actions, tasks, and chores (like do a favor, do the dishes).

Therefore, the incorrect sentences should be: "I promise I will make a delicious dinner..." and "I will even do all the dishes..."