A happy new year to all of you.
A happy new year to you, too, Ahmad. Welcome back!
A. The event intended to introduce students to broader perspective and scope of Management Studies.
B. The event was intended to introduce students to broader perspective and scope of Management Studies.
1. Are both the sentences correct?
Sentence (A) is incorrect. You need the passive here: "was intended." Being insentient, events do not intend things. Events are, however, often intended for certain purposes by those who organize them.
In this case, the creators of the event intend it to introduce students to a broader perspective and the scope of management studies. I recommend using those articles before the respective noun phrases.
2. Do I need to put 'Management Studies' in lower case?
This will depend on which set of stylistic conventions you are adhering to. I subscribe to the stylistic convention that areas of study should not be capitalized. This is, I believe, what the Chicago Manual of Style recommends. The issue is fairly trivial. If you hadn't asked about it, I wouldn't have commented on it.