You have two main options:
Use an EmbeddedMediaListPlayerComponent rather than an EmbeddedMediaPlayerComponent, and add your media (and start-time and stop-time media options) to the playlist.
Implement your own playlist, using an ArrayList containing objects representing your playlist item (start-time, end-time and MRL), and manage it using the finished() and error() callbacks in a media player event listener. So you get a finished() event, you advance to the next item in the playlist and play that (with your start-time and stop-time media options).
The main problem with #1 is that the underlying libvlc native media list player is not as reliable as the regular native media player. It seems more buggy and prone to crashing.
The main advantage of #1 is that it is the quickest, most seamless, way to play multiple videos one after another.
The main problem with #2 is that it is more work for you to implement. Also, the changeover from one video to the next might not be quite as seamless as with #1.
For #2 you may also need to consider how you are going to synchronise access to your play list.