What is the longest trip you have ever taken by car?

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Here are my corrections for you:

It\\\'s been almost 4 years since I went to Spain with my family. 

>> It has been almost 4 years since I went to Spain with my family. 

When I made a itinerary for family trip, I decided to rent a car because my children was too young to take a public transportation. 

>> When I made an itinerary for our family trip, I decided to rent a car because my children were too young to take public transportation.

We were handed out a rent car near the airport. 

>> CORRECT!

The car we reserved was out of stock, so we could take a similar model as we reserved. 

>> The car we reserved was out of stock, so we took a similar model to the one we originally reserved. 

My family planned to travel around northern part of Spain. 

>> My family planned to travel around the northern part of Spain. 

We went to Granada city which is famous for Al Hambra palace and then traveled next to the city around Granada city. 

>> We went to Granada city which is famous for Al Hambra palace, and then we traveled next to the city around Granada city. 

I felt a little bit nervous because the traffic rule in there is different with our country\\\'s rule. 

>> I felt a bit nervous because the traffic rules there is different with our country\'s rule. 

I received an email that attached the fine bill, I was violated speed limit.
>> I received an email with the fine bill attached, I was violated for going over the speed limit.

It costed a lot for me renting a car. I had to pay car rental fee, parking fee and speed limit fine. 

>> It cost me a lot for renting a car, I had to pay for the car rental fee, parking fee, and the speed limit fine. 

However, I really helped me to travel around the country because I brought two stroller and many travel bags. 

>> However, it really helped me to travel around the country because I brought two strollers and many travel bags. 

I stayed there for 11 days and used a car almost 6 days.

>> I stayed there for 11 days and used the car almost 6 days.