"I did create backup and restore backup to new database, not copy tables."
With all due respect the evidence suggests that is not true, if it were true you would not have lost all the identity specifications, default values, and other properties on the tables as you have.
"is there any option to export data and import it into new installation?"
No, that is what you already tried, it leads only to countless errors. Banish the notion of import/export from your thoughts, it is not a solution, it is the cause of this problem and more problems to come if you keep going.
The only options are use mssql management tools to create a backup and then to restore a backup, or use a 3rd party tool that is capable of scripting the objects correctly and the data. Tools such as RedGate can do that, but there is also a free tool linked in our article about using MS SQL, see the section "Moving From One Server To Another" in the MSSQL documentation.