1) Todays girls forgot how to operate a door handle?? Did it ever occur that maybe, just maybe, the princess in questions should show SOME manners, and offer to hold open a door?!?
2) Yes/ It IS halacha. A man (male, boy bochur or man) does not walk behind a woman. HIS OWN TOO! To do so is boorishness. Any modern-day ‘gemutlichkeit’ is not correct middos. <<BOMBSHELL>> We are commanded in our Torah to wipe out amalek. ‘What?!’, you counter, how could you do such a thing. Where’s middos, proper manners? Kill out a whole ??? ??????!? How could you do that? Murder?!? Well, thats your answer. Middos tovos come to us from ????, not from modern-day etiquette. That’s what ?????? explain why we preface ??? ??? ???? ????? to Pirkei Avos. Look it up! Halacha certainly does not bow AN IOTA to ‘modern-day-mannerism’. (Where’s those with the ‘Women are holier then men’ opinion? If they’re holier, shouldn’t they understand a basic Torah principle??)