Love Story (I will continue to write it, so i need your help.)

blue = caps/punctuation    red = word change/addition    green = comments/suggestions

Once upon a time, there was a small village. In this village, there was a beautiful girl who is was the daughter of a rich family that they were the richest family and owner who owned of the biggest house in the village [I edited your last sentence with one suggestion since it was a bit redundant. You could also say that she was the daughter of "the richest family in the village" and add that they owned the largest house in the village in another sentence]. Despite the properties [their properties? Were you talking about the family?], the beautiful girl, whose name is was Ala, was unhappy(no period) Because, Ala fell because she had fallen in love with her father's worker whose name is named Ker, and she couldn't tell her father anything about him [this works, although I might consider changing "anything about him" to something more specific, like "her secret" just so the reader knows that she is not able to tell her father about her love for Ker, not necessarily about Ker himself].
She knew that her father doesn't permit to would not permit their relations relationship. **Ker loved Ala so much too very much as well.** [Maybe consider putting  this sentence earlier, like when you are talking about Ala's love for him; this makes the narration flow better] They couldn't see each other because of prohibitions. They couldn't stand much this situation at all (note: this is optional), so they decided to escape from their village. [I put the two sentences in one to make them flow better.] Ker made a plan what it that could give happiness to them. Ker told her [personally would change "her" to "Ara" to make it more specific] about the plan. She liked plan it but[no comma] she was confused due to her father's illness. [You haven't really discussed the father's illness until now; I'd probably mention it much earlier, especially if you are going to talk about it later in your story.] 
Ker explained everything about plan. [redundant!] They wouldn't couldn't wait anymore. This is was the last chance in order to escape from village together (no period) because (no comma) Ala's father wanted to sent send Ker to another village. But, he got ill [again, you haven't explained the illness much. Did he get ill just as he decided to send Ker away or was he ill before then?]. This is was the their big chance for them. They eloped in the middle of the night. When Ala's father had learned of their escape, they had arrived at their new home.

Love Story (I will continue to write it, so i need your help.)

Once upon a time, there was a small village. In this village, there was a beautiful girl who is was the daughter of rich family that they were was the richest family and owner of the biggest house in the village. Despite the property properties, the beautiful girl whose name is Ala was unhappy because Ala fell in love with her father's worker whose name is Ker and she couldn't tell her father anything about him.
She knew that her father doesn't permit to wouldn't allow their relations. Ker loved Ala so much too. They couldn't see each other because of prohibitions. They couldn't stand much this situation. They decided to escape from their village. Ker made a plan about how what it could give them happiness to them. Ker told her about the plan. She liked the plan but, she was confused due to her father's illness.
Ker explained everything about plan. They wouldn't couldn't wait anymore any longer. This is It was their last chance in order to escape from village together because Ala's father wanted to sent Ker to another village. But, he got ill. This is the It was a big chance for them. They eloped in the middle of the night. When Ala's father learned of/about their escape, they had arrived at their new home.

eloped: Good vocabulary!

learn of is more formal than learned about