You seem to have two different issues. Probably better to put each in a separate post.
Re:
@Thai****
You are missing some important information we need to assist you.
First, how old are you and your daughter?
Second, what type of Non-O visa are you applying for?
Third, I'm quite certain the immigration official told you the reason your application was insufficient. What was the reason? Was it insufficient proof of supporting a Thai Child?
Fourth, are you listed as the father on the child's birth certificate?
Fifth, what is your current visa status, and what country are you in currently?
Sixth, what is your visa history in Thailand?
Your Thai Non O visa application issue can be resolved quite easily and relatively inexpensively with a good agent.
Re: Thai Girlfriend Visa to US Denied
This has been discussed many times here.
Please search the forum for suggestions.
In summary, you will have to prove the girlfriend has sufficient ties to Thailand to guarantee her return to her country.
Any information that might show that she has incentive to stay in America should be minimized. A fiancรฉe or marriage visa might be an option.
Good luck.