He wants to impress her and catch her attention with his wealth, which is depicted through his house.
Marullus seems to sense that by entering into this civil disorder he is committing a crime. This fear foreshadows what happens. In Act 1, Scene ii, Casca tells Cassius and Brutus that the tribunes Marullus and Flavius, Caesar's political enemies, have been caught disrobing the statues. They have been put to silence.