Turns out he is highly allergic to Penicillin, just like his Daddy & sister, and it took a few days for these crazy spots to go away. We made a stop by the hospital when his fingers and ears started swelling, but all was OK.
I thought it was crazy that he'd been taking the medicine for 8 days and then he had a reaction. But after doing research, it isn't all that uncommon to have a delayed reaction.
On a side note, I want my baby with a pacifier back. I miss him being this little!