Is it normal that i love my family, but hate them at the same time?

I love my family. I really do, but sometimes they can be really annoying... As the youngest, I always get called to do chores that others can do. Everyone thinks I'm never busy, so when I'm doing homework or revising, they think I'm not. When I've finished all of the homework I had and finished revising for the day, they all think I'm lying and make me show them all of the specific details, especially my brother. Whenever I have friends over, they always embarrass me, or shout at me or anything. My friends realise I struggle with this, and sometimes prefer to be at school.
When we are eating, with no friends over, all they do is concentrate on the TV, rather than talking to each other. They know I hate watching the football they put on, but still do it and shout at the players as if they can hear them, which I guess is pretty normal. But, my brother and my dad are always fighting, and unfortunately, I have to sit next to my brother, and he speaks so loud. I get a headache all the time.
What makes life harder is that we recently found out that I am coeliac, so I can't have any gluten whatsoever. Also, we got a new puppy too, so whenever a job needs doing for her, it's always me that has to go and sort her out, even if I'm busy, ill, or have friends over. Whenever I have something to say, no one will listen in my house, so they barely know anything about how well I'm getting on at school, my grades, the bitches that I have to deal with at school, etc. I have learnt to tell my friends about this and they told me to come onto this website. So, I really need to know if it's normal to love and hate my family at the same time.