NO, he can't if he is not married to the mother - because he must show both the birth certificate AND the Kor Ror 2 or 22 marriage registry document. You are spreading fake news, false claims
Visit Immigration and apply for the 30-days extension. . . . . . . I would add: It is highly possible that the Immigration officer wants to see a TM30.
The TM30 is the registration of your accommodation provider/hotel/guesthouse/resort, which must be done within 24 hours of your arrival at the place where you will be staying
In case you stay privately at a friend’s house, or use an AirBnB, the friend or the landlord needs to register you in the TM30 system and you will need a printout or screenshot of the receipt
Usually the officer, when he is entering your personal data in his computer, he will see that you were registered by the hotel. It would be advisable to carry a business card of your hotel
In Thailand, a child born out-of-wedlock is the legitimate child of the birth mother. The law does not consider the biological father to be the legitimate father. Therefore, he shall have no legal rights over the child"
you are COMPLETELY wrong. A mother could theoretically name anyone as the father and get him listed on the birth certificate. This is just NOT the legal way to give him parental rights. Only by court order can he be given parental rights. The name on the birth certificate out of wedlock is irrelevant, it would only be valid if the couple is married
no, there is no such visa option. There only is a "visit family" visa option which needs documentation from a Thai entity that you have relatives in Thailand