2. She does not know why she has be fined. - incorrect
I think you want to use the present perfect here, so it should be
2b. She does not know why she has BEEN fined. (has + past participle)
Or, if you are trying to use a passive construction, it would be
2c. She does not know why she has to BE fined. (passive infinitive)
4. He wants she come - his mother - to home. (literary) - incorrect
"Come home" would not be separated in this way. So you need something like this:
4a. He wants her - his mother - to come home.
Notice the verb "wants" takes the pronoun "her" and not "she".
You can write:
4b. He desires that she - his mother - come home.
But this would definitely be a "literary" sentence, not something spoken in everyday English. It is also an example of using the subjunctive in English, something that is dying out. That is another reason that this sentence would not be spoken very often.