I think the example you use is appropriate, the language is fair good and the ideas are clear.
Some idioms are inappropriate, though:
Verbal skill, communication skill
Don't need this
My brother,a personnel manager of IBM Company,facing to the interview,he responded the complicated questions particularly,skillfully and humorously.
When my brother was being interviewed for the position of personnel manager at IBM company, he responded the question skillfully and humorously.
I think particularly does not fit here. "My sister like ice-cream. Particularly, vanilla ice-cream."
I may be wrong, though, but I seldom see particularly being use like you did. Keep in mind that all these adverbs make your essay sound vague; the reader won't know how exactly your brother has handled the interview. Try to be more specific next time.
Additionally,to speak well is the key to beating in the competition,especially for getting a job.
But my brother replied that he wants to concentrate upon his job for overcoming the pain of broken heart.
Whatever this means, it is not a good idea to use But in this situation. Your previous sentence is saying that you brother did a good job on his interview. Now he said this, and apparently the interviewer has a good impression on it. You use but when you want to introduce an idea that is negative to the previous statement, and in this case it is not true. Instead, you can just continue without using anything. But I still feel that this sentence is really dangerous...