Answer:
Slippery slope: If you don't let me go to the dance, then everyone will think I am a loser, then everyone will stop being my friend, and I will have to stop going out in public.
Red herring: Sure, we haven't given raises to our employees in over five years, but we work really hard to make good products and have excellent customer service.
Circular reasoning: You need to clean your room because it needs to be cleaned.
Ad hominem: She would have you think she's better fit for the job, but let me tell you something—she stole gum when she was four, so she surely can't be trusted.