Hey Mike and thanks for getting in touch!
These are great questions.
I believe Events Manager allows you to export your events as a CSV file. If that is the case, then we you re-import them to The Events Calendar using the built-in CSV Importer. You may need to match the exported fields in the spreadsheet with column headings that The Events Calendar can recognize, but we have a tutorial that should help you get started.
I’m afraid that Facebook Events does not actually sync with Facebook. It will import events from a Facebook page into WordPress but not the other way around. Once an event has been imported, the information will not be updated if the event has been updated on Facebook.
That said, we are in the process of releasing a new product called Event Aggregator that will solve this and allow you to not only import events from Facebook (among other sources), but keep the information synced up between both sources. You can read up a little more on Event Aggregator and we hope to release it within the next couple of months, if all goes according to plan. 🙂
Does this help answer your questions? Please let me know.
Cheers,
Geoff