Choosing Past Simple or Past Perfect: Do I need “had” here?

Question

Do I need "had" here? If yes, do I need to change "did" to "done"?

A: Lucy accidentally broke her mum’s favorite cup yesterday.

B: Oh! I think her mom was really angry at her, right?

A: Not really.

B: Why not?

A: Well, as soon as she broke the cup she began to clean in the house. By the time her mom came back from work Lucy had cleaned three rooms, did all the dishes in the kitchen, and even mopped the staircase! Her mom was very happy when she got home.

Answer 1

Yes, you need did to change to perfect tense, to be consistent. Whether you want done or had done is a matter of preference:

Lucy had cleaned three rooms, done all the dishes in the kitchen, and even mopped the staircase.

Lucy had cleaned three rooms, had done all the dishes in the kitchen, and had even mopped the staircase.

The first version would be preferable since it makes just as much sense while being more concise.

Answer 2

How about simplifying it to:

Lucy had cleaned three rooms, washed all the dishes in the kitchen, and even mopped the staircase! Her mom was very happy when she got home.