In a way, yes. Good healthy families are a core of a functioning society. However some examples you gave:
Why do you need a doctor's appointment in the middle of the day?
Unless you're in a society where doctors are available in the evening, this is a silly question
Why do you need to go pick up a prescription at lunch time
Again, depends on the pharmacist's opening hours
like why can't you work through lunch?
This is just stupid completely
They need the job a lot more. They have a little girl!
This makes sense, as again, someone with a child needs to provide for a family
Clearly they need it more than the the person who has a disabled spouse, because kids are way more important than an adult dependent!
This is stupid and a disabled spouse or any dependent should also be taken into consideration
We can't fire this person, they have kids! Let's choose someone who doesn't have a family.
This makes sense. Some people need more money than others. That's a basic fact. You or I would find more value in £1000 than a billionaire would.
Society flourishes when there are more middle class families flourishing. (By "more" middle class, I mean raising people to the middle class and maintaining those who are as well.) It is natural order that we should make society an easier environment to have a family in, rather than harder. Lest you end up like Japan or China with a declining population
Society was wrong when it started to hate women who had more kids and lived off of child benefits (and maybe a husband's wage helping as well). If they're actually doing a decent job at parenting, let them.