yes you can eat it. its the part you should mostly eat. 95 percent of the nutrients are in the rind.
youtube watermelon rind and you will see!
Why are you juicing that gorgeous watermelon??
I do eat the rind, though. I dig my spoon right down into the white so that when I'm done there's just a skinny bit of green rind. That way you get two flavours and more textures.