All the best in your Chinese class! Here are a few proposed suggestions.
1. 安娜喜不喜欢读中文书？
读 = "Read", while 看 = "Look at". Although "看书" is sometimes used in casual conversations to mean someone is "quickly glancing through a book", "读书" is a more accurate way of saying "reading a book".
2. 安娜喜欢看中文书、可是她说中文书有很多难懂的词和也有很多新的汉字。
The overall phrasing of this sentence feels a bit weird... I'm guessing what you're trying to convey is that "Anna likes reading Chinese books, but she says that Chinese books have many difficult words and many new words."
It would be better if you said "Anna likes reading Chinese books, but she feels that these books have many difficult and new words."
So the sentence would look something like this: "安娜喜欢读中文书，可是她觉得这些书本含有很多难理解和新的汉字。
4. 她有，可是这不是好的词典。
8. 安娜会说四种语言: 汉语、英语、芬兰语和瑞典语。
10. 白平会说两种: 汉语和英语。
11. If you meant to say that "Anna would like to read the newspapers with Baiping", you could use this sentence: 安娜想和白平一起看报纸。
If you meant to say that "both Anna and Baiping would like to read the newspapers together", then this sentence would be more accurate: 安娜和白平想一起看报纸。
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Final notes on punctuation:
Hmm, it looks like you're using a lot of the “、”（顿号; not too sure what the English equivalent term is）.
The 顿号 is only used to separate items in a list. For all other uses, the normal comma "，" would be better.
Example: Today, I went to the market. I bought fish, chicken and eggs.
今天，我去了市场。我买了鱼肉、鸡肉和鸡蛋。
