Suit means to accept something or an action as proper, suitable and adaptable enough to fit in. In another context, it means a set of clothes worn at the same time consisting of a matching jacket and trousers for important celebrations.
"The groom was adorned in an outstanding three apiece suit at the wedding."
Suite is a group of interconnected rooms in a single building separated from other rooms by means of access. It is commonly used in hotels.
"The congressman paid for the presidential suite at the five star hotel in the middle of the city."