Hi, Do you have the Enable Contact fields in the back end under General/Data checked off? Do you have the import messages log checked off so we can see what is importing? Are you using current versions of the plugins?
I just imported this (see attached file) with these fields and the Notes data imported fine. I cant test your particular one pout because it is a screenshot. I would need a CSV file in order to inspect your fields.
See the Import message log that shows what was imported as well as the header fields.