In the case of the first three sentences, as is a preposition:
2 : in the capacity, character, condition, or role of
// works as an editor
In other words, it's possible for somebody to say this:
I don't respect you as an employee, but I do respect you as a parent.
→ I don't respect you in the role of an employee, but I do respect you in the role of a parent.
The use of as makes it possible to separate out different aspects (or contexts) of somebody's actions. It's the equivalent of saying you like somebody's shoes but dislike their shirt; it doesn't make a generalized statement about the person as a whole, but focuses on something specific.
In the fourth sentence only, as is used as a conjunction:
7 : for the reason that : BECAUSE, SINCE
// stayed home as she had no car
As you say, it means:
Be respectable and she will respect you because you are a good influence on her son or daughter.