Electronic PDF registration certificates are available for free from the Estonian Business Register.
This is what a registration certificate looks like.
To obtain your registration certificate visit this link and search for your company name or registry code.
Then select "The printout of valid registry card information in English".
For certified paper documents you should contact one of the notaries in Estonia. Estonian Business Register does not issue certified paper documents.
Estonian notaries are also responsible for issuing an apostille to certify the Estonian public records for use in other foreign jurisdictions.
For electronic shareholder details certificate follow the advice here.