Hi Connie,
There’s a simple example here for displaying custom fields using get_post_meta():
http://mappresspro.com/mappress-documentation#toc-modifying-the-poi-template
I can’t tell you how to read the Types fields because I’m not familiar with their API. You’ll need to consult their documentation.
They probably have information about how to get custom fields in a template file. The POI template should work the same way.