Is my family normal?

Bad families are sadly very common, but it doesn't make it right. Unfortunately, I went through the "Don't close your door," phase too as a teenager. It's an abusive parent thing, to make you feel like you have no control of your own space, they always have an eye on you, and all that.

You have to get out the house more. If you can't move out yet, get a part-time job after school near your house (or near a bus route). Or join an after school program/clubs/sports. This way, you're productive, and the only time you're home is when you have to eat dinner and sleep.

Kinda had the same situation... minus the barging in so I can just imagine how that is for you...
All I can suggest is do what the guys above said to do

I think you're just paying far too much attention to their annoying behaviours. Find a way to distract yourself from all this, get some work done, or talk to friends. Try getting outside. My father was the same, in that, if I closed my room door, he would open it to check what I'm up to. It could be they don't trust you, in which case, you need to try to explain to them that you're a teenager and you require your privacy. Eventually I would lock my room door. Now I can't because my cat can't stand it when my room door is closed either. He will just push it open for the fun of it, but that's a whole other IIN post altogether!

You say you're in "college" and your English usage hints that you're British, so I guess that means you're sixteen or seventeen. So why the hell are you allowing a seven year-old to push your buttons when you should be old enough to understand what she's doing? You should know by now that you bossing her around is guaranteed to result in her trying to wind you up.

Your mother says your room stinks, and I wouldn't be surprised if it did. I also wouldn't be surprised if you aren't aware of the funk. Many kids your age are genuinely incapable of smelling their own stench, and lots of teens your age really do stink (boys especially so). Even if you pay a reasonable amount of attention to your personal hygiene, all the hormonal shit going on in your body creates a lot of odours that adults find very noticeable.

Many British houses have serious issues with ventilation and many people keep them shut up tight at this time of year, so I wouldn't be at all surprised if your little den of teenage angst reeks and desperately needs some ventilation.

As for your dad disconnecting you from the only world you're interested in, I notice that you don't actually deny that you were playing online games all day.

At the age you are, the need to feel that you have some personal space and autonomy is normal. It's also normal for parents of kids your age to wonder what the hell happened to their nice kid who used to enjoy spending time with them and now wants to spend all their time at home hiding in their room with the door shut, doing God only knows what.

The fact is that you have to live with the people you share your home with. You can't make them change, so your only choice is if you change your behaviour and attitudes. I suggest you might try to make more of an effort to connect with your family and spend a little more time with them, leave your door open when you're not in your room, tidy it up and do something about the pile of laundry that's probably festering in the corner, and make a conscious effort to be aware that lots of kids the age of your little sister enjoy any attention - even negative attention.

Totally normal. You need to move out

Time to move out.