The structure of your essay is good, although it will be better if you can put three (rather than just two) examples or arguments between your introduction and conclusion.
In writing, take more care to say precisely what you mean. For example, your closing statement is not quite right.
All in all, close relationship between human and animals are highly recommended.
If what you mean is that there
is a close relationship (in the sense of similarity) between humans and other animals -- as evidenced by the fact that we share 98% of our DNA with chimpanzees -- that's relevant to your essay. But, the way that you have phrased it, it sounds like you are recommending close relationships (in the sense of mutually beneficial interactions) between human and nonhuman animals, and this runs contrary to your essay, which relies for one of its examples on terribly hurtful research perpetrated on monkeys by the psychologist Harry Harlow, who deliberately took baby monkeys from their mothers in order to demonstrate something we easily could have learned (and, indeed, already had learned) by observing human orphans in institutions.
If you are trying to say both of these things -- that humans and animals are similar and that they should have good relations -- then you would have to rephrase the sentence. For example, you could say, "Humans and animals share many characteristics. We can learn much about ourselves by observing them. However, because they are so similar to us, we must take care to treat them humanely and not deliberately inflict psychological harm on them."