Regarding who should be greeted first
حَدَّثَنَا أَحْمَدُ بْنُ حَنْبَلٍ، حَدَّثَنَا عَبْدُ الرَّزَّاقِ، أَخْبَرَنَا مَعْمَرٌ، عَنْ هَمَّامِ بْنِ مُنَبِّهٍ، عَنْ أَبِي هُرَيْرَةَ، قَالَ قَالَ رَسُولُ اللَّهِ صلى الله عليه وسلم " يُسَلِّمُ الصَّغِيرُ عَلَى الْكَبِيرِ وَالْمَارُّ عَلَى الْقَاعِدِ وَالْقَلِيلُ عَلَى الْكَثِيرِ " .
Abu Hurairah reported the Messenger of Allah (May peace be upon him) as saying : The young should salute the old, the one who is passing by should salute the one who is sitting, and a small company should salute a large one.