Is it me? Or is it her?

I have a 16 year old daughter who acts as if she hates me. As she is my only child I feel it terribly. I ask her how her day was, she sighs as if bored and answers me in monosyllables, I ask her to unload the dishwasher, she ignores me, I ask her to put her dirty laundry in the hamper so I can wash it, it doesn't happen, I'm not allowed to go into her room. I come home after work and the house is a mess with dishes everywhere. I work 6 days a week to provide us a lovely home and no I dont say this to her but I am fast reaching my wits end. How do I get her to realise she has to help-at least clean up her own mess? It's putting immense pressure on our relationship. I ask for some of her time to do something together on Sundays and am told sorry it's the weekend! She asks for money that she will pay back and never does. What's going on? SHould we seek some counselling? Help!