I'm not sure about the vinyl tape residue on the binding. Have you finished the final coats? I have read that olive oil can be used to remove sticky residue! I would only try it if you have finished the final coats.

But the blue painter's tape on the rosewood fretboard may come off when you add the lemon oil (or your fretboard oil). Try a little section first. Or use a razor blade as a scraper to scrape the sticky residue off. (I have a neck at school with residue from painters tape - I will try the lemon oil to see if it works!)