Quickly = to do something with speed. I will answer this question quickly.
Rapid = fast. It usually refers to objects, not people, although this is not a grammar rule, just the way it's used. So a rapid river is a river that moves very quickly.
RapidLY means the same thing as quickly but is less commonly used.
Quick (with no ly) means the same thing as rapid, and is more commonly used for people.
Quickly is a manner of doing something, rapid is a manner of being.
hurry is a word you use to tell someone to do something quickly. It needs to be done NOW, hurry!
sometimes if you try to hard to do something quickly, then you mess up.
HurriedLY = to do something fast, but sloppily.