APUSH

On May 26,1830, the Indian Removal Act was passed. (passive voice). It granted President Andrew Jackson the funding and authority to remove ("relocate" may be better, but if you'd like to stick with "remove," I would specify a bit more. e.g., "to remove from their homes.") the Indians residing east of the Mississippi River, a goal he pursued with great zeal.

Powell's case

Was Officer Powell guilty?
Officer Powell was found guilty based on (one is not guilty because of evidence, but rather found guilty because of what the evidence shows.) the following pieces of evidence. First of all, the Singers, the only two witnesses in Rodney King's case, thought Powell used excessive force. Since Officers Tim and Melanie Singer are trained officers, they had a clear understanding of what "excessive force" means (我觉得过去时态没问题但这样写在逻辑上更加正确一点). While Mrs. Singer testified that Powell hit Rodney King in the right cheek, Mr. Singer testified that Powell hit (or "struck") Mr. King in the head, twice.
According to the video, Rodney King continued to rise after he was struck with "power strokes." And according to Officer Powell, he struck Mr.King because he was "scared to death;" he was afraid that Mr.King would get hold of one of the weapons and hurt officers. However, apart from the fact that he kept rising again and again, Mr. King neither showed the tendency to (attempted to?) grab anything, nor did he stretched his arms in a specific direction. The fact that (我个人觉得把"the fact"省略也行) there were eight officers at the scene makes Officer Powell's testimony seem pale （这个字较少见，不过此也不见得有错。你是不是学英国的英文？反正我想在这个语境下用法没问题）. Moreover, Mr.King eventually (ceased resisting and?) kept his knees to the ground, which was described by the defense as "with his knees cocked." The beating nonetheless did not stop.

However, according to the video, up to this point, Mr. King did not have any tendency to rise again, (新主语加上comma) and he kept his knees to the ground. And according to the man from the Force-escalating Department testified that (<em>see </em>"according to") "all the actions that took place after 42'20"" were all constituted excessive use of force.
Furthermore, Briseno, one of the four officers being accused, accused Powell of using excessive force. Briseno tried to stop Powell from beating Mr.King, but failed. "Powell was out of control," he said.
Also, the message Officer Powell sent clearly stated, "I haven't been beaten anyone (你不想写被动语态是吧？） this badly this long time (for a very long time?)." The fact that he used the word "beaten" meant that he knew he was doing the wrong thing, but he did not care. An audio recording also revealed Officer Powell's laughter after the incident. Obviously, he did not care what happened though he confessed he had "beaten" Rodney King. After Mr. King was transferred to the hospital, the nurse testified that Powell said things like, "Don't you remember we played some hard balls tonight?"

我们法学生经常避免被动语态，但除非你写的是法律简要等等，什么都可以。

这段话的难度非常高。你接近native水平。你是不是学过法律？嘿嘿。也许会适合你。有什么问题的话，就来找我吧

Practice forming sentences.Please correct them .

a rain check:
I have an English lesson. Can we take a rain check on going shopping?
I'm afraid I have to take a rain check on your invitation.
I'm having a headache. We had better take a rain check .

be used to sth\doing:
He is used to not having a car.
I'm used to having an apple after supper.
Boy, don't let yourself get used to obeying (everyone?) (usually, but not necessarily, takes an object). Follow your heart. 
Are you used to getting up early yet?

我真的震惊了。你写得挺好的。从这几句话来看你的英文水平已相当高。有什么问题或要求，就尽管对我说呗

The national holiday of China

It's the National holiday of China. The Chinese government moves several working days together and turns them into a seven-day holiday, lasting from Oct. 1st to Oct. 7th. Also known as 'Golden Week,' this holiday [maybe add something positive about it, beyond the fact that it is a holiday]. However, the desirability of 'Golden Week' has become a contentious issue. During 'Golden Week,'  public areas are crowded, roads are heavily congested, and the prices of many tourist sites rise significantly. It can seem somewhat chaotic at times, and many people feel quite tired when it is all said and done. Thus, many people have recently suggested to instead have a paid leave as soon as possible. 

-Your entry sounded natural and was very well written. Message me with any questions!