But lich'ora, tadir v'sheino tadir, tadir qodem and Ner Shabbat should come first
MB 1 says while Mechabeir doesn't really hold that Qabbalas Shabbos starts with lighting Ner Shabbos, rather he is merely chosheish for that Sheetah, [aparently that of the BeHaG as quoted By SA himself 263:10]
Lich'ora this should also mean that the mechaber should pasqen to light Ner Shabbos before the Brachah! IOW not over la'assiyasson.
But then I realized that perhaps the mechaber is only chosheish for the BeHaG that LIGHTING starts Shabbos, but not for the Mordechai who holds the BRACHAH starts Shabbos, so "yeish lechaleiq"KT