Because, I didn't prepare my car for the snow to my car, I had to drive more carefully.

Luckily, I could finally comeget back shome without any trouble.

come back home, arrive back home, get back home are all okay. I like "get back home".

DuringWhile driving, I was shocked because I saw three cars werehad broken down in the middle of the highway.

1. "While driving," or "While I was driving," sounds better. 2. You probably want to say that the cars "broke down". To
"break down" means they stopped working and can't move, for example because the engine malfunctioned or the tire deflated. If you only say "broke" then I will imagine a car separated into many pieces like broken glass. (If there was a serious accident and the cars really broke into pieces, you can say this.)

SIn some locations, I couldn't see anything because of the heavy snow.

I don't want to drive like thisin these weather conditions anymore.

I don't know why, but we usually say "these weather conditions" instead of "this weather condition".

Another option: "I don't want to drive when the weather is like this anymore."

Driving in the sSnow

In English, the first letter of all the nouns, verbs, adjetives, adverbs, etc. in the title are capitalized.

Today, I went to my hometown and came back for, which took about 5 hours.

When I camewas coming back, the snow had started to fall.

Because, I didn't prepare for the snow to my car, I had to drive more carefully.

Luckily, I could finally come back someget back without any trouble.

DuringWhile driving, I was shocked because I saw three cars were broken down in the middle of the highway.

Some locationIn some places, I couldn't see anything because of the heavy snow.

"Locations" sounds really formal and technical. In this situation, you would just use "places".

I don't want to drive like this weather condition anymorein weather like this again.

Today, I went to my hometown and came back for about 5 hours.

No need to add "and came back" in this sentence!
By using the word "hometown" it is implied that you don't currently live there.

When I came back, the snowOn my way back, it started to fallsnowing.

Edited a bit to sound more natural.

Because, I didn't prepare my car for the snow to my car,, so I had to drive more carefully.

Luckily, I could finally come back somdrive without any trouble.

DuringWhile I was driving, I was shocked because I saw a three -cars were broken crash in the middle of the highway.

SIn some locations, I couldn't see anything because of heavy snow.

I don't want to drive likein this weather condition anymore.