LB, if you are really worried about the siddur issue and there is an eruv in your community, then bring your own siddur from home. It may even help your davening, if you mark places beforehand, insert notes to explain things, etc.
As far as seats, there is a concept about having an established seat for davening. And it is hard to know that if you are not a regular and cannot interrupt the person in the next seat to ask. But generally, women’s seats are assigned only for Rosh Hashana/Yom kippur, and at other times, they sit where they want to. Maybe the front row is reserved for the rebbitzin or other important women. Naturally, the regular shul goers usually will sit in the same place, so it kind of becomes their seat unofficially. But women’s sections are not full as many women do not come since they have little kids to take care of, so there will probably be extra seats. Take one in the back, and you probably will be ok, or get there early enough when talking is still allowed and you can ask where you can sit without offending anyone.