if you are talking about a second savings account that is not managed through the application, but is managed (withdrawal/replenishment) only during a personal visit to the bank, then the minimum amount for opening an account and the minimum balance on this account should be 2000B and you should have a separate bank book for this account. All the rules and offers are on the official website of the bank in English too. Everything else is bureaucracy and a tricky calculation of each specific branch of Bangkok Bank
You can bring your cash just dont fordet to declarate it on the Thai custom. And keep that declaration to show in Thai bank for open acc and exchenge you currency to confirm your money came with you outside Thailand