1. The question is not about the legality while are getting the job done illegally.
If this can be allowed legally why should you grease the palms of the officials.
In any case you may not face any problem at least till this official is holding this post.
You may verify from the master plan of the building in which all such things would be mentioned
3. It depends. If you have the roof rights or the terrace rights on the entire third floor, you may not need to get NOC from other flat owners.
4. It is always better.