All information can be found here. The "Historical Track" feature is a great tool to show you where a vessel has been travelling in the past. Follow any vessel's past track and check if its position has been captured by land antennas or satellites. FleetMon maintains terrestrial AIS data dating back to 2007 and satellite AIS data from 2013 onwards.
Search your vessel and call its detail page, scroll down a little and you will find the tab Historical Track. Select the date range and time resolution. Additionally, you will find a bar chart showing which type of signal was received and when.
In order to download the data in csv or kml, the price (Credit Points) for the download depends on the time resolution, the volume of data and the amount of Satellite-AIS data.
If you look for tracks you've generated in the past, check your Report Archive.