As you said, dreams are the reflection of psychological potential consciousness. Dreams themselves are smart and predictable. From the perspective of analytical psychology, dream is an unconscious language forgotten or ignored by our consciousness, and it is a rearrangement of those weak but important data. In this process, the events in the dream are always related to our conscious activities during the day, and the clearer the dream, the more meaningful it is.
Looking at the fragments of the three dreams you recorded above, my feeling is that there are four words "eager to have children". This may be your state of consciousness during the day, and because of this, you are very concerned about the birth process of your child.
The snake in the third dream is actually a very meaningful symbol. Many times, snakes are ominous symbols, but sometimes snakes are also symbols of wealth. In particular, the snake in your dream has some symbolic connection with the snake in the Bible that lures Eve and Adam to eat the fruit of wisdom. According to the Bible, men and women were driven out of the Garden of Eden because of being lured by snakes, and they became self-reliant and thrived through sexual intercourse. Therefore, in a sense, snakes are also a symbol of fertility. In addition, snakes have a symbol of healing. We know that in Greek mythology, a snake is coiled around the cane of a Chinese medicine god, and the design of the World Health Organization is also a snake. From this perspective, it is related to the birth of the child combined with the bleeding in the dream.