Jack's nickname, Beeboo, has persisted, even though at home we mostly call him Jack and at preschool everyone calls him by his full name (there are several Jacks at school). Despite that, for the most part, Jack still refers to himself as Beeboo, so when he asks a question or wants information it comes out, "mommy tell Beeboo" or "tell Bee."
Jack is increasingly independent, so I often ask him if he wants to do something himself or with help. Today when I asked him he answered "I'll do it Beeself."
Here is a photo of Jack "writing" words, which is his newest skill. He writes dog, pool, pig, and frog, among others, and usually it's pretty legible (at least to me).