Hi. I applied for this visa in pp in February of this year. I needed originals of birth cert and showed evidence of cash though my UK bank account. I seem to remember I also had translation of my UK passport to show my name corresponded with the Thai translation on the certificate. Yes you need child's name on tabian baan. They also asked for flight details for me. I wasn't asked for the $1k thing, but I could have offered that, but guess that because my UK funds were adequate, that was enough. They were rude and unhelpful, but did the whole thing within 24 hours without hassling me further.