I don't see what you're saying in relation to this verse. There are some women who are single and don't have children - how does it apply to them? It seems from this as though pain in childbirth is a punishment for sin. Well I don't have any children, and I happen to believe that Jesus died for my sin.
With regards to men ruling over us and submitting to them; well yes, up to a point. I mean, firstly this verse is about a relationship between husband and wife, it's not an instruction for every situation in life. For a woman to refuse to take a job which would involve having men working for her, on the basis of this verse would, IMO, be wrong. God calls women and gives us gifts just as much as he does men.
Secondly, the man has to want, and be able to, take responsibility, make decisions and "rule over". And I can tell you from experience that some aren't!
Thirdly, submission does not mean the man does what he wants and expects the woman to fall into line. When we were preparing to get married, the vicar told us that "obey" means that you discuss all matters and forthcoming decisions, but if you are in a position whereby you can't make up your minds and either of two options looks good, then it the man who has the last word and makes the choice, and the woman who supports him in that choice. Even if, when things go wrong, she is tempted to think "I bet the other choice would have been better." Or to nag him for having got it wrong.
God has created, saved, chosen and called both men and women. He has a plan for each of us. He wants us all to love and serve him; to do what he has called us to do, and to be the people he wants us to be.