The word indigenous implies a more tribal, hunter-gatherer type of culture. It is not technically wrong, but it doesn't sound like the sort of reference you're trying to make. "Native to Chinese culture" would be a better fit.

Star truck was typed incorrectly, what they meant to say was "star struck" meaning fascinated, impressed or "in awe of". The sentence "Kris couldn’t wait to try and capitalize off from the Hunger Games actress" means that because J-Law is so famous and well liked from the Hunger Games movies, Kris is trying to gain media coverage and fame by being around her. Congratulations on having the English skills to read paragraphs as complexly worded as this one.

This is all correct except for the last part: "but had never answered my phone calls for two days" It could be changed to "but has not answered my phone calls in two days" If this is real, sorry about your phone. :P

I think that "She lives on the same floor as me" is technically a bit incorrect (if someone knows the exact rule let me know), but is very commonly used in conversation. "Mine" would be incorrect. Other more grammatically correct ways to say it would be: "She and I live on the same floor." or "she lives on my floor." Again, if you are just speaking in normal conversation, the original sentence is fine.

I’ll NECESSARILY write the book in the future. This may or may not be technically correct in this sentence, but it is really awkward and would never be said. The only way I've ever heard the word used is coupled with not. (e.g. Apples are not necessarily red.) Necessarily stems from "need" with the meaning "needs to be" or "is always". I’ll SURELY write the book in the future. The best one of this list, although it does have a slight implication that you are guessing/hoping that you will write the book. Surely is more often used for sentences like "Surely my team will win this year". I’ll write FOR SURE the book in the future. This is grammatically incorrect. A correct sentence would be something like "I'll write the book in the future FOR SURE." This is just another form of SURELY so the same implication applies. I’ll OBLIGATORILY write the book in the future. I have never heard this word used in conversation and it would be extremely awkward in this sentence. Obligatorily stems from "oblige" or "obligation" and means "is required to". In this sentence it would mean that someone is forcing you to write the book. I'm assuming that you are only using this sentence to help you understand these words, but in case you are interested, a better word to make the sentence understandable is absolutely. (I’ll ABSOLUTELY write the book in the future.)

I'm not an expert myself, but I have found that if you treat language like a class assignment you can never really make progress. The best thing to do is watch movies/TV in Chinese, read a book that is close to your level, and of course make a friend willing to talk practice you. The point is that you have to have fun with it in order to remember and just study up on some grammer and vocab.

First of all, to make this sentence grammatically correct, you need to change outshine/overshadow to outshines/overshadows and change the wording to make it a question. It sounds like this sentence is trying to ask a question about the positives and negatives of the internet (correct me if I'm wrong). If that is the case, it doesn't really flow logically. When you have a if/then statement, the first part has to lead directly to the second. A coin having two sides doesn't prove that the positive side of the internet outshines the negative. If I am understanding your meaning correctly, another way you could word it is: "Like two sides of a coin, the internet has a positive and a negative, but does one outshine the other?"