Firstly, which hadiths did you read (you mentioned it at the start)?
To my knowledge, women covering their head isn't mentioned in the Quran.
Once again, although hadiths are relatively important, I would be careful as some have been fabricated. This notion that a women cannot initiate a conversation with a male is nonsense, many of the women of the Prophet's time (even his daughter who is regarded as one of the women of Paradise) conversed with men (of course with boundaries and modesty)). I don't agree with the 'so called hadith that you read'.
Your last paragraph is very interesting (in a good way). Indeed, everyone must make their own decision whether to believe in a God or not (there's no compulsion in religion). However, the issue here is that the boundaries for a muslim isn't the same for a non muslim (in terms of the rules they abide by) and hence it's difficult to be married (eg the alcohol example). I also did mention how marriage is meant so that both husband and wife become more spiritual. It makes it easier as both parents will be believing the same thing, attending same events, can guide and help each other religiously.
In my view, being a good person is one of the most important aims in life. In my belief, most people will end up in paradise after being cleansed for their sins (only fair). Many people attempt to refute this using verses with 'disbelievers' in it and then claim that as most people are disbelievers, most will never enter heaven. However, a disbeliever means kuffr, meaning to hide. Hence, a 'disbeliever' is one who knows the truth but still hides it. Hence, when the Prophet spread Islam and showed miracles, people knew this was the truth but still didn't accept; hence disbelievers. (Thus, this doesn't apply to everyone who isn't a muslim).
To summarise, the most important thing for me is being a good person. You can be forgiven for sins (between you and God), but cannot be forgiven for your sins to another human unless they forgive you.