Move inside and talk to the man by the entrance. Learn about Expel 10. Apparently Morinth has been telling a few people that they are her favorite band. So that's good to know. Now, you basically have to do a few cool things to gain Morinth's attention.

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Paragons can talk to a man called Horinth. His friend is a reporter trying to bust a crime group, but she's been made and doesn't realize it. He needs a brave soul to go over and work the code words into a conversation with the crime boss. Go over and start with terminal. If you start with eternity, then it won't work and he will just tell you to leave. Terminal lets you start by asking for a terminal and then stating that you hadn't seen one in an eternity.
You can also flirt with a girl on the dance floor and dance with her. This really only works if you have a fair bit of paragon points
You can also defend one of the club dancers from a turian who won't leave her alone.
You should also be able to talk the bartender into serving a round of free drinks.
Renegades should be able to get by with two fun ones.
Walk along the outer ring and look for two turians sitting together. They are planning to rob some drunk club goers on the way out. The renegade option gets them to attack you and you'll wipe the floor with them.
You can also go to the bar and insult a krogan. He'll back down and you'll get some points.
Most of these have options that don't use renegade or paragon conversations. You just have to talk longer and won't get extra points.