Better?

Where does it say that?

The examples clarify clearly you can take multiple breaks. Or are you talking about multiple consecutive break days? Even then, where does it forbid that?

You skip 3 and 1. You can skip as many as you want, what you can't do is work for more than k consecutive days in a row.

No, they represent the earnings per day, you can't rearrange them.

Because if you skip 1000, you can only work for up to 3 consecutive days (not 4 like you did there), and you'll have to take a break again. Any combination where you discard another day will give you less than 13000.