Separate parts of songs in one file?

How can I separate intro, verse, chorus, etc… into labeled sections?

That’s not possible.

The only alternatives are to have one single, very large HP tab, or split each section into their own tabs. I’d recommend the latter, since you could label them like "[song name] [section name]" and it’d be very clear as to what song and what section of the song the tab is referring to.