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I have a "talent" to make and leave few mistakes in my essays...

Heavy traffic is one of the biggest problems in our days. There were endless arguments made about solutions so far, but none of them brought results. While few people suggest banning traffic from towns and city centers, others are against this idea.

In my opinion, transport banning from the city centers is a good idea, because there won‘t be any congestions anymore. What is more, people and tourists would have safe pedestrian-only zones, so it would help to attract more tourists to visit our city monuments. Of course, distances are quite long, so deliveries and public transport should be allowed.

On the other hand, this solution is quite inconvenient and it would take a lot of time to make it popular with people. Instead of it there are some alternative solutions such as charging cars for driving into the city centers. Incoming money could be used to create more car parks. Also cars could be allowed only on alternate days.

To summarise, banning private transport from our cities‘ centres could cause even more inconveniece that the advantage. That‘s why I personally think that traffic should be reduced only in particular days and during the cities fiests a small charge should be taken. In my opinion it could help to reduce heavy traffic problem.
Comments  
Heavy traffic is one of the biggest problems in our days. There were endless arguments made about solutions so far, but none of them has brought results. While few people suggest banning traffic from towns and city centers, others are against this idea.

In my opinion, banning private transport such as cars and motorcycles from the city centers is in theory, [this was added because you make it sound as if banning traffic was the only good idea where in the second paragraph, you list the other side] a good idea [no comma here] because there would not be any congestions anymore. What is more, people and tourists would have safe pedestrian-only zones, so it would help to attract more tourists to visit our city monuments. [Of course, distances are quite long, so deliveries and public transport should be allowed.] This sentence contradicts the rest of your paragraph. I have made changes to the first sentence that incorperates this sentence.

On the other hand, this solution is quite inconvenient and it would take a lot of time to make it popular with people. Instead, I believe that there are some alternative solutions such as charging cars for driving into the city centers. Incoming money could be used to create more car parks [is it a lack of car parks that creates traffic or too many vehicles on the road at once?]. Also cars could be allowed only on alternate days.

To summarise, banning private transport from our cities‘ centres could cause even more inconveniece than it is worth. That‘s why I personally think that traffic should be reduced only in particular days and during the cities fiests a small charge should be taken. In my opinion it could help to reduce the heavy traffic problem.

[Overall, very well written. I love how you alternate your beginings (of the sentences). That makes the paragraph so much more interesting to read and all the more worthwhile. Keep it up! =D]
To summarise, banning private transport from our cities‘ centres could cause

in my opinion it must be city centres not cities centres...
cmiiw..
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Thank you so much for your comments ^_^
"Cities" centres was such a stupid mistake because the correct form was written in my English book... Thank you poci_wasiats for spotting it :]
And thank you Anonymous for your help :}