Thanks so much for the tips, everyone! Maybe he is indeed part Angora. It's so hard to tell what an Angora really looks like under all that fur! I will post pictures of him again when he is full grown, that may help.
His personality is very endearing. He's a shy little man. We've had him for 3 weeks now and he's one of the shyest bunnies I've ever had. He lets me pet him, but he often looks a little scared and sometimes moves away from me. He also lets me pick him up with no problem and does not struggle even though I know he's scared. Not trying to scare him of course, just trying to help him adjust! He's such a darling little fellow and is definitely making me earn his love
I am completely crazy about him! Oh and when he's out of his cage, he's very curious and likes to explore and binky, but does come over to visit me sometimes. My little Padraig is such a sweetheart!