anything that contains a demand sounds to me like a core negative belief.
We can ask others to love us, but of course it is still their choice whether or not to do that. As has been pointedo out, others have the same rights we do. If we expect others to, for example, respect us, they have just as much expectation of respect. If someone chooses not to respect you, then you must decide whether or not it is worth your while to still allow them into your life.
It sounds to me like you may be mixing up values with these rights. They do kind of go hand in hand.
Values are like an anchor. What do you believe in? What do you believe are the important, valuable things in life? Where do you cross the line? Where do you draw it? What will you do for a friend, what wouldn't you do?
Everyone has the right to decide for themselves what is important, what is to be valued in another person, what are the morals they live by, including you. When you decide what these are, you will feel more confident, freer, and able to handle people, when you know that there are certain beliefs you will not compromise, certain lines you will not cross. And if you have confidence in your beliefs, and your acts align with those beliefs, you will find yourself less judgmental, while also being able to decide, in a more objective way, that those who do not extend the same courtesy to you are to be dealt with at a distance, you will know that their behaviour most likely isn't personal and that they probably treat everyone the same way. I think you'll find that things bother you less.
Recognizing your rights and beliefs gives you self-respect and renders you more able to respect others and put those who do not recognize such things in their proper perspective.
It's knowing what you're about and having confidence in that. It enables you to deal with people and situations much better. Being true to yourself gives you strength, instead of capitulating to what you think people want from you in order for you to be liked, or whatever else it is you think you want from them.
It also allows you to recognize that other people are fallible human beings, with their own way of doing things. It isn't that they have anything against you. If you start out with honesty about how you expect to be treated, there is less mess after something goes wrong. You won't have to run the risk of feeling bad about yourself, recriminations, and the rest of it. And others will know exactly where they stand with you. they may not like it, but as I say, there is less mess that way.
That's what those rights are about.
of course, that's only my opinion. Good luck to you, you are on a good path.