1) Just be polite ( obviously you are). (I'm Qatari)

2) Well here since Qatar is a Muslim country we treat women like they are supposed to be treated.
" Abu Hurayra stated, "The Messenger of Allah, may Allah bless him and grant him peace, said, 'The most perfect of believers in belief is the best of them in character. The best of you are those who are the best to their women.'"

3) The heat maybe and I'd say the staring from men. I'd strongly suggest when you get here to get yourself an abaya, it'll really cut down on those stares.