Mozilla Lightning – How to Export Calendar Events

I have found the answer: If you have Lightning installed, right-click on the email, and from the context menu select Convert To->Task.

There is no integrated search as far as I know. However, there is a rather good search function in Lightning, you can access it under the main menu > Events and Tasks > Find events.

A search bar along with a list of events will appear on top of your main calendar view. You can filter the search criteria on a time basis and expand the events information (and sort the events accordingly) by adding columns to the list as you would in the message list pane.