Is there a way to have multiple punch-in areas? If not I'd love to see it as a new feature.
 
I want to have (say) bars 6-24, 30-40, 43-53, 60-70 as areas where I want to record something (maybe these are vocals or solo areas).  I'd like to have these already set up so I can choose "record area 1" and it marks 6-24 as the recording punch-in, then click on area 2 and 30-40 is the punch-in area, click on area 3 and it's 43-53 and so on. It would certainly make my work flow easier when recording punch-ins at various points in a song.

No, this is not currently possible. I'm not sure how many users work in such a consistent, structured way that such a feature would be routinely useful to them, but you should write up a Feature Request in the dedicated forum for that.
 
In the mean time, you can move the punch range as a unit in the timeline by clicking and dragging the line between the markers, and I think it should snap to Markers as landmarks if you enable that, which might help facilitate the process of moving markers. I reported a while back that punch ranges didn't snap like loop ranges, but I think that's been fixed.