Touko: "Does it all go to the burnable trash?"
So these are the belongings of the previous "victim". Was he killed, or did she just took it all over through the justice system is unknown.
Touko: "But this is important, chose slowly"
It feels that she looking for the nice guy to take care of her now...
I'm wondering, could it be that she has a scissor relationship with her daughter, and her "job" is just taking other people's stuff by abusing the system?
The burning of the name at the end... Either that's to express she is planning to do something against him, however, she did not do it against the previous "victims", so it could also be "she is leaving the past behind".