Dealing with a sibling is tough, especially if you've got a long-established tradition of fighting. It's easy to interact poorly because you've been doing it your whole lives.
Keep calm. It's hard to yell at somebody who doesn't yell back. It's hard to yell at somebody who puts up their hands and says, "You know what, I'm sorry. I didn't mean for this to turn into an argument, I'll leave you alone." Apologize even if you're not in the wrong (not necessarily taking whatever perceived blame, but for the fact that there was a misunderstanding) and try to defuse the situation.
Walk away when things get bad, or if it looks like a conversation is going downhill. Once you start getting sucked into disputing who did what, it's never going to end well. This is incredibly challenging for most people, including adults. You want to feel like you're right, and the other person therefore needs to admit that she's wrong, and if you just argue long enough surely that will happen. Unfortunately, she's approaching it the same way, and I bet your arguments just end up going in "he-said she-said" circles constantly.
Especially since you admit you're a control freak, be mindful of whether you're asking for input or subtly pushing your own preferences. When you suggest stuff to do, are you saying "What TV show do you want to watch" (which invites input) or "Do you want to watch Robot Super Blast with me" (which tells her you've already decided on the activity).
Talk to your parents. You seem frustrated with a lot of different situations, not just your sister. Focus on feelings first, specifics only if you need to -- if it comes off as just blaming her for all your conflict, that isn't going to be well received. Feeling lonely and isolated from your recent move is very normal, and while they can't necessarily fix everything, bringing that to their attention may motivate them to arrange more time for you to see your old friends (or something). Also, they need to help act as mediators between you and your sister. You're still both kids, and any teenager is going to be annoyed and frustrated and unhappy and angry sometimes -- none of those are emotional states that make a younger sibling easier to deal with. Enlist their help in keeping the peace: if they see a conversation spiraling out of control, have them (calmly) separate you and let your tempers cool off.
Find somebody else to talk to. Maybe there's something you don't want to tell your parents, or you want to just complain for a while how it's so unfair that they always take her side. Find somebody to talk to. A school counselor or therapist would be a good possibility because they are specifically trained (1) to listen, and (2) to help you learn coping mechanisms to get through frustrating situations. A favorite uncle or family friend is also a great resource, because they may be familiar with how you and your sister fight but removed enough that they can provide perspective.