My favorite book:

One of my favorite (favourite) books is "The Cider House Rules" by John Irving.
There are two reasons. First, In (in) this novel (the) author raises acute social prublems (problems) such as (the) illegal abortion's issue or problems of (in the) orphanage system. Although the story is set in (the) 1940s, it still have (has) an interesting perspective on our lives today because the same problems could (can) be observed in many regions of (the) modern world.
Another reason is that I find this story undoubtedly exciting. It really keeps your attention till the last pages because of (the) original plot and (the) different characters in the book. Through the reading, your mind inadvertently becomes a part of (the) life created by the author.
For this (theses) reasons, I consider "The cider house rules" (The Cider House Rules) to be one of the most interesting books that I have read so far.

My favorite book

One of my favorite books is "The Cider House Rules" by John Irving.
There are two reasons. First, In in this novel the author raises acute social prublems problems such as illegal abortion's issue the issue of illegal abortions or and problems of in the orphanage system. Yeat Yet although the story is set in the 1940s it is still have still has an interesting perspective on our lives today because the same problems could can (NOTE 1) be observed in many regions of the modern world.
Another reason is that I find this story undoubtedly exciting. It really keeps your attention till until the last pages page because of the original plot and different characters in the book. Throughout the reading, your mind inadvertently becomes a part of the life created by the author.
For this these reasons, I consider "The Cider House Rules" to be one of the most interesting books that I have read so far.

NOTE 1: I believe that "could" is also grammatically correct in this sentence, but "can" sounds better to me.

Great job Ivan!