Travel))

I like travelling very much))
I've visited many places in my country. This is very interesting)) I like meeting new people and learning about their lives))

I just wanted to point out that you can say "I like to meet new people and learn about their lives"

The correction given is fine, but they are interchangable.

I very like to travel))
I visited many places in my country. This is very interesting)) I like to meet new people and learn about their lives))

Travel))

I like traveling very much.)) (There are many different ways you can write this but this would be the most common way to write this sentence.)
For me it's very interesting to visit many cities and places in my country.)) (You can combine both of these sentences to make it shorts and have it be one sentence.) I like learning the lives of new people that I meet)) (Again this is a sentence that can be written in many different ways. The way you wrote it was good just at an ing after meet and learn for your your sentence but I just want to show you another way to write this sentence.)