Middle of the page shows all the messages exchanged in the room.
Right side will show list of members who are present in that room.
Private message This option will send "private chat request" to the person selected and will show in their "alerts".
View Profile This option only show for registered members and will take you to their profile page.
A lot of the time, people end up reaching out to the , getting no response and having to settle for someone they aren't really excited about -- this is especially true for men.