Tzeniut (2)

Sometimes a quick exchange communicates more effectively, and more personally, than an article. Sometimes, just seeing that others share our questions can make us feel more connected. Our posted questions and answers are an opportunity to learn from each other. Keep in mind that each questioner’s situation may be unique, in ways that affect the halachah. Even the tone of a question can affect the tone of an answer.
Question
I grew up charedi, however I now live in a community in Israel where many married women wear short sleeves and leave their hair out in the back. I want to know if this is okay halachically and what I need to be aware of while doing this. Or is this a...
Are there any leniencies to the laws of tzniut in public (including dress, hair covering and kol isha) when no Jewish men are pesent? Do the laws of tzniut apply when in the presence of non-Jewish men as well?