"Per week" is used instead of "every week" because "per week" is a rate, while "every week" is a statement about how regularly the activity is performed. A person in 2000 might not do 15 hours of housework every week. He or she might alternate between weeks of 5 hours of housework and weeks of 25 hours of housework, for example. That's not 15 hours every week - in fact, it isn't 15 hours in any week - but it's still a rate of 15 hours per week.
"Weekly" means the same as "every week," so it's also wrong here.