I'd just fill it up the night before. I doubt the imbalance is worth a squawk. You just have to pay attention to which tank you select in cruise.
You can call a Warrior a Cherokee, but it technically isn't proper to call a Cherokee a Warrior unless it is the PA-28-160 Warrior, but unless you are on the ACID team, I doubt anyone is going to really care. As far as contacting clearance or ground, tell them you are a PA-28.