small car accident

Dear [이름],

 I was quite upset to hear of your recent accident. In fact, the news was very disconcerting to me. I am confident, nonetheless, that your strength and vigor will lead to a quick recovery. 

~Teacher Megan~

HERE ARE MY CORRECTIONS:

Yesterday, when I drove my car to home, I suddenly had a car accident.

>>> Yesterday, while driving home, I had a car accident.

Fortunately, me and my wife weren\'t hurted, and my car also got a little scratches on the door.

>>> Fortunately, me and my wife weren\'t hurt, and my car got a little scratches on it\'s door.

I felt really embarrassed but my wife had a next schedules, we just exchanged our phone number each other and promised to call later.

>>> I felt really embarrassed but my wife had a next appointment, we just exchanged our phone numbers and promised to call each other later.

First of all, I called to ask advice of my friend who works at a car insurance company.

>>> First of all, I called to ask the advice of my friend who works at a car insurance company.

I described to him about the circumstances of car accident.

>>> Correct.

 I was just driving straight in right lane, and when I reached at intersaction, a car from the side street scratched my back door of the right side.

>>>  I was driving straight in a right lane, and when I reached the intersection, a car from the side street scratched my back door on the right.

it seems like that other car owner\'s fault was heavier than me.

>>> Correct.

because my car was going on straight and I already passed the side street and afterwards he rushed into my car.

>>> because my car was going straight and I already passed by the side street and afterwards he rushed into my car.

I felt relieved and dealt car accident with insurance.

>>> Correct.