Your BMI is 27.3 which puts you bang in the middle of the overweight range. So yes, technically I think that makes you fat.
Curvy is a body shape. Women can be curvy regardless of being fat or thin, tall or short. It's about proportions. A curvy figure for example would have a nearly equal bust and hips so say 40 inches, then a waist 10 inches or more smaller. So 40-30-40. It doesn't matter if it's 48-36-49 or 33-22-33- it's the proportions.
As for thick...I don't even know what that is. The opposite of thin?