Education has...

More natural: Education has an important position in our lives, and therefore in society as well.

Can my sentence be correct?
I mean is it correct to say" So in our country"?

Education has a lot of importance in our life and so in our society.
Education has a lot of importance in our life and also in our society.

"And so" is a conjunction, meaning "therefore."
You need a to write a clause when you write "and so."

Education has a lot of importance in our life, and so in our society we build the best schools in the w

What about this?
Education has a lot of importance in our life, and in our society too.

JumanahWhat about this?Education has a lot of importance in our life, and in our society too.

That's good. Most people would not put a comma after "life."

Okay.
When I say "Education doesn't have a lot of importance in our life and neither in our society"
Did I use "neither" correctly?

No. We don't use "neither" when the statement is already negated with not or no.
You have to use either...or

Education doesn't have a lot of importance either in our life or in our society.

Here is an example of neither... nor
Education is neither important nor necessary in our life or in our society.

Okay.
Thank you very much.

Hi Jumanah
Following on..
Another way to say this sentence simply and clearly:

Education is important in our lives and in our society.

Best wishes
Dr Norman