Mopping a floor with an impure mop

1. My sister mopped the bathroom that my younger brother used, and the bathroom had pee drops on the floor as my younger brother doesn't exercise caution when it comes to pee drops. Then, not knowing this, I used the same mop and mop bucket with the same used water inside, to mop the whole living room. While the living room was wet, everyone walked all over it, and the wetness transferred everywhere in the house. By the time I learned a few days later that the mop had been used to mop the bathroom, all the wetness had been dried. What should be done in this case?

2. Also, my mother prayed on the living room floor (no prayer mat, just on the floor) many prayers. Does she have to repeat them?