So cute and curious, yet appropriately wary. I could have held this bunny in one hand. Contrary to what some people think, rabbits are not rodents. They are of the genus Lagomorpha which includes Hares. Lagomorphs have four incisor teeth (front) in the top jaw, where Rodentia have only two. There are other differences, but surely the long ears and fluffy cottontail are enough to let you know it is not a rat!
You might notice the ticks drinking blood with impunity from the rabbit's ear. Such are the hazards of the wild.