All perfect praise be to Allaah, The Lord of the Worlds. I testify that there is none worthy of worship except Allaah, and that Muhammad is His slave and Messenger. We ask Allaah to exalt his mention as well as that of his family and all his companions.
It seems that all your questions relate to the distance that is forbidden for a woman to travel without a Mahram (a non-marriageable relative). The narrations reported in the book of Imaam Al-Bukhari and Muslim and others in this regard differ. One narration reads: ''A woman should not travel for a distance of three days except with a Mahram''. Another narration reads: ''It is not permissible for a woman who believes in Allaah and the Last Day to travel for a distance of one day and one night without a Mahram''.
Another narration forbids a woman to travel without a Mahram, but did not specify the time (and or distance).
The Prophet said: ''A woman should not travel except with a Mahram''. However, another narration specifies the distance as being 12 miles. Thus it becomes clear that what is meant is not the distance but it is the travel itself. Therefore it is not permissible for a woman to travel a distance that is considered a travel according to the customs of her country without a Mahram. This is the preponderant opinion in this issue. However, there is no difference whether the travel is continuous or interrupted by pauses. Anyway, if a woman is obliged to travel and did not find a Mahram or husband to accompany her, then Allaah does not prevent her from travelling because necessities make what is forbidden permissible. Allaah says (interpretation of the meaning): {Allaah has imposed no difficulties on you in religion.}[22:78]. And an urgent need is considered as a necessity.
Allaah knows best.