Lex, take note that not all Baptist are alike (you should have figured that out by now). Independent Baptist tend to be one of the more conservative (probably along with Primitive and others). Myself, I'm a Regular Baptist, which means I align close with Calvinist views of soteriology. Take a look at Wikipedia's sections on Baptist - it's pretty thorough.
I think almost all Baptist would say no. However, that doesn't always preclude women from other roles such as an assistant pastor (e.g. children's pastor).
Earlier you asked about leaders - like one leader, i.e. the Pope. This is where the protestant concept of Priesthood of Believers comes in. We believe that each of us can connect with God on our own and don't need an intermediary or intercessor besides Christ. Couple that with Sola Scriptura and we now have all the tools we need to correctly interpret scripture and doctrine just as well as any other man. We argue that's there's no power given to the Pope (a sinful man like everyone else) or anyone else that isn't given to each of us. Besides a tenuous scripture passage in which Jesus is speaking to Peter, there's nothing to support apostolic accession, but there's lots of passages to support the priesthood of believers.
So, that raises the question, "why so many denominations and disagreement?" My answer is this: We are the finite trying to comprehend the infinite and understand things that are currently shrouded in mystery and we are sinful and that sin clouds our judgement. We get caught up in trying to figure it all out - is man comprised of body, mind and spirit or is he just body and spirit? (yes, that's something I've actually debated) The true answer should be, "what does it matter? Why do I need to know?"
Hopefully I cleared one thing while muddying the water in lots of other things.
Both of these posts are, to me, examples of why I think God's plan is to make Himself available to everyone. We are all different. Motivated differently, interpret things differently, need different things spiritually (not in a hierarchy of needs way).The part that drives me nuts is thinking about if I were outside of the church looking in. Good grief there's how many denominations?! Why would anyone want to be a part of that. I've been to many different churches and I regularly listen to preachers outside of any Baptist banner (including Calvinists). I would have no problem fellowshipping with any of you. Heck even my family gatherings there are Assemblies of God, Reformed Prebysterian, different Baptists, Catholics. I have no problem conversing with any of them about spiritual matters.
As a Catholic, even internally we have Jesuits, Franciscans, Dominicans, etc. They are not "wrong" but they emphasize different aspects of Christ. I see denominations as the same concept, writ large.
Which, as a Catholic, is probably a wee little bit blasphemous.