Travelling without a Mahram

Good actions of a woman who travels without a mahram being affected

Q: There is a hadith about women travelling, Abu Hurairah (radhiyallahu anhu) reported: The Messenger of Allah (sallallahu alaihi wasallam) said, 

"It is not permissible for a woman who believes in Allah and the last day to make a journey of one day and night unless she is accompanied by a mahram (husband or male relative whom she is prohibited to marry)." (Al Bukhari and Muslim) 

According to the hadith, if a woman travels alone will her prayers not be accepted?

Woman traveling without a mahram

Q: I want to ask about travelling alone. My sister lives in Australia and she wants to visit us in India. She cannot come with her husband or son because of their work and school. My other sister is also coming from Saudi with her children so we can reunite as my mother is not well

My question is, is it permissible for her to travel alone as she is confused?

Woman having no mahram to travel with

Q: I am a woman who lives in Canada and I need to get my passport renewed in order to go to Turkey where the rest of my family has settled. I am not financially independent so I cannot live here on my own. However the place where I need to go to get my passport renewed is over 100 km from where I live. I have no mahrams here and my father who is in Turkey is not religious and would not come to Canada just to drive me 100 km to get my passport. I can drive myself but I know that I cannot go that far without a mahram normally. In this situation can I just drive myself? If not what would you advise I do?