Dear Furuyama-san,
About birth cerificates please give us Japanese copy certificate,
We check with Japan Ambassy in Thailand they will certified for us with 350THB/page just take 2days to prepare.
You can prepare any,
- House registration doucment
- Birth certificate document
Any of them if you have Japanese copy which can show the relation to you and your wife too.
You can’t translate by yourself cause need to verify seal too