Thank you for your post and welcome to our forum. Let me answer your questions here below:
1.) I assume that you mean female to male transmission, like in your case. It is certainly possible both ways. However the risk is relatively low for the man; if she was positive, the risk for you is estimated around 0.1% or 1 in 1,000, form one single unprotected encounter. Not knowing her status, the risk would be considerably much lower.
2.) A maculo-papular rash can be a symptoms of HIV sero-conversion, but very rarely in isolation. It usually comes together with a high fever, malaise and severe sore throat. Therefore I do not believe that these symptoms in your case are related to HIV. It is usually generalised and non-itchy.
There is no doubt that you need to get tested at the appropriate window period and you ought to also have a full STD screening.