You do not need to provide more information that what is asked or needed. The cluster of information might show a degree of disorganization. But in any case, you do need to identify yourself and, therefore, show your importance in the matter. Which is made by using your full name and your title in the company. That helps the person to know the value of your response and to put a face on the letter. Putting your title above your name is a bit dehumanizing though, and might be perceived as arrogant. The correct answer is A.
