In the chat section, you will find your "New Matches" at the top. Clicking on the first profile with the heart icon and the "Like" label will take you to the "Notifications" - "Likes" section, where you can view all the likes received. For more information on the "Notifications" section, click here.
All other profiles you see in the "New Matches" section are users with whom there has already been a match, and you can start chatting with them.
In the lower part of the page, you will find all active chats.