When a poem praises a loved one piece-by-piece, it’s called a blazon.
Is there a name for a poem/song that extols one’s *own *virtues and accomplishments, though? There must be, because there are a lot of popular songs in this form. *Rodomontade *and *braggadocio *come to mind, but neither refers specifically to poetry/song lyrics.
According to Icelandic poet and philolologist Jón Helgason, it might rightly be known as a Peire Vidal- poem, after the old Occitan trobadour.
Jón even made a (second-hand) translation of some of Vidal’s verses, and they seem to stand the test…
Curriculum vitae? What? It doesn’t rhyme, but it has a highly constrained format and a prescribed length. It’s like a haiku, but because your future is depending on it, the stress is on every syllable.