Someone is handsome if they appear attractive, healthy and strong. Handsome is a term most commonly applied to men, but can also be used to describe animals and women.
When you are happy, you feel good and smile a lot. Being happy is the nicest way to be. People are happy when things go the way they want, when people are nice to them or when they are having fun. The person in the picture is happy.
Something is hard if it is solid to touch, and you cannot squash or bend it. Stones are very hard. The opposite of hard is soft.
A person or a place is hick if they are not sophisticated, and are probably in a rural area.