Creating maps through the new Maps Engine Lite is a different process than the process used for creating maps in "classic" Google Maps. If you want to try your hand at creating a map with Maps Engine Lite, Bradley Lands has put together a nice tutorial to help you get started. That tutorial is embedded in the video below.
Maps Engine Lite allows you to go beyond manually adding placemarks to your Google Maps by uploading a spreadsheet of locations that will be displayed on your map. You can import up to three spreadsheets per map. You can also draw custom lines and shapes on your maps. Like any other Google Map you can invite others to collaborate with you. You can share your map by embedding it into a website. Google Earth Outreach offers a detailed tutorial on how to use the new Maps Engine Lite.