As a native English speaker, this is how I would write each sentence.
Original: "I will immigrate with education and apply in a university abroad in case I not successful in immigrate by job apply."
Edit: "In case I am not successful at immigrating by applying for a job, then I will immigrate for education and apply to a university."
Explanation: For clarity to the reader, we place the unsuccessful clause first. Generally, this is described as an "If, then statement". If this happens, then that happens. I changed "successful in immigrate" to "successful at immigrating" and "by job apply" to "by applying for a job" I changed "with" to "for" as it shows intent. "With" implies that you already have the education. I change the preposition "in" to "to" as the application is being sent "to" the university.
Original: "I'm a engineer but I will study in the medical field in the unlikely event of the spread of the National Internet in my country."
Edit: "I'm an engineer but I will study in the medical field, in the unlikely event of the spread of the National Internet in my country
Explanation: I changed "a" to "an". There is a general rule in English with this article that before a noun that makes a vowel-type sound, you use "an" and before a consonant-type sound, you use "a".
I added a comma in the middle, but I am not sure exactly the intent of this sentence. The way it reads to me is that you will apply to study in the medical field in the unlikely event that the National Internet spreads in your country.
I hope this helped!