#2 is interesting as it speaks to the issue of why Jesus of Nazareth was so shy (in the gospel accounts) about saying that He was divine. He let His actions talk and others speak about them. “Who do they say that I am?”
This was God being quintessentially God. If anyone had a right to brag it would be God, but no, God lets others brag on Him.
I agree. When you brag, you get your praise from men and thus your blessing. When you do good and keep quiet, God will bless you openly.