The words of Agur the son of Jakeh, even the prophecy: the man spake unto Ithiel, even unto Ithiel and Ucal,
2 Surely I am more brutish than any man, and have not the understanding of a man.
3 I neither learned wisdom, nor have the knowledge of the holy.
4 Who hath ascended up into heaven, or descended? who hath gathered the wind in his fists? who hath bound the waters in a garment? who hath established all the ends of the earth? what is his name, and what is his son's name, if thou canst tell? (Prov. 30:1-4 KJV)
19 Then Nebuchadnezzar was full of fury, and the expression on his face changed toward Shadrach, Meshach, and Abed-Nego. He spoke and commanded that they heat the furnace seven times more than it was usually heated.
20 And he commanded certain mighty men of valor who were in his army to bind Shadrach, Meshach, and Abed-Nego, and cast them into the burning fiery furnace.
21 Then these men were bound in their coats, their trousers, their turbans, and their other garments, and were cast into the midst of the burning fiery furnace.
22 Therefore, because the king's command was urgent, and the furnace exceedingly hot, the flame of the fire killed those men who took up Shadrach, Meshach, and Abed-Nego.
23 And these three men, Shadrach, Meshach, and Abed-Nego, fell down bound into the midst of the burning fiery furnace.
24 Then King Nebuchadnezzar was astonished; and he rose in haste and spoke, saying to his counselors, "Did we not cast three men bound into the midst of the fire?" They answered and said to the king, "True, O king."
25 "Look!" he answered, "I see four men loose, walking in the midst of the fire; and they are not hurt, and the form of the fourth is like the Son of God." (Dan. 3:19-25 NKJ)
Eternally begotten is not possible. In John 8:42 Jesus said that He came out of God and He used a past tense verb. That means it's a completed action that is finish, thus there is no eternal begetting.
Yes, the Father calls Jesus God. The word "theos" is a title. It doesn't mean they are the same being.