The red dog, this color, is more harmful in dreams, which shows that these things have done great harm to your mind recently and made you very worried.
Father is the object of help, which shows that you also want his help in reality. It's a pity that he can't help you much.
You didn't bite and bleed, which means you still believe in yourself and your ability to handle all this. Blood is the original self, without loss, symbolizing only temporary anger, without substantial loss.