Continuity mistake: When Andy is talking to her boyfriend while doing the science project, she picks up the bottle of beer while getting up to go and hug him. The bottle disappears when the scene cuts to the hug.
Suggested correction: Given that how the shots change, it's likely that she would have put it on the desk again.
Other mistake: When Andy is talking to Christian outside the fashion event at night, he says, "If it weren't for the stupid boyfriend I would have to whisk you away right here and now," except Andy has never mentioned that she had a boyfriend. (01:04:58)
Suggested correction: It's quite likely that Christian knows this without Andy telling him. He and Andy know some of the same people who are associated with "Runway" (later on, he reveals the plan for Miranda to be fired). He probably has "connections" and keeps up with gossip.
Other mistake: Andie lives at Broome and Orchard, in the heart of the Lower East Side. Average rent for a one-bedroom apartment (which they have) was $2217 at that time, and Nate and Andie both make barely minimum wage. That rent would have taken their *entire* combined salary in 2006. They didn't depend on help from their parents, since Andie's surprised when help arrives. And the apartment wasn't rent-controlled; Andie and Nate aren't from New York.
Suggested correction: This submission is making assumptions. When is it stated that both Andie and Nate are earning "barely minimum wage"? They may not be upper-middle-class, but their two incomes are never described as "barely minimum." In one scene, the friends raise their drinks in a toast to "jobs that pay the rent." Also, Andie might be surprised to receive money from her father, but we know nothing about Nate's family.