Is flying on an airline and booking into a hotel etc breaking the Sabbath ?
No. Why would it be? What theology do you have that would condemn all those who do?
Is is not the same as shopping on Sunday and buying services?
If you are Orthodox Jewish, probably.
You sound a bit scrupulous. Might suggest you have a good talk with a competent, well grounded priest/confessor.
Where are you getting this from!?
You need a long talk with your pastor.
Shopping on Sunday is not sinful.
People in the ER get services on every day of the week, including Sunday. They certainly do not sin.
You would be encouraging someone else to work and break the Sabbath by buying their services on the Sabbath.
So its ok to shop on Sunday as long as all the employees are Jews. (Joking)
*Remember the Sabbath day by keeping it holy. Six days you shall labor and do all your work, but the seventh day is a sabbath to the Lord your God. On it you shall not do any work, neither you, nor your son or daughter, nor your male or female servant, nor your animals, nor any foreigner residing in your towns. For in six days the Lord made the heavens and the earth,the sea, and all that is in them, but he rested on the seventh day. Therefore the Lord blessed the Sabbath day and made it holy.
What is the purpose of this command?
The first reason God gives is that the Sabbath is “to the Lord your God,” that is, it is a time set aside for complete devotion to God.
The second is “but he rested on the seventh day. Therefore the Lord blessed the Sabbath day and made it holy.” That is, God wants us to imitate him and rest on the day after the completion of his work.
Now, we Christians understand that Sunday is the day Christ rested from completing the work of salvation, the work of rebirth and the remaking of creation, through his death and resurrection, and so the blessings of the Sabbath in the New Creation are imputed onto the First day of the week.
And so, we rest in the completed work of the first born of all creation by making the completed work, the sacrifice and resurrection of Christ, present again through the Divine Liturgy. This fulfills both the intentions of the command: we are setting time aside for God, and we are resting in the finished work of the Lord on the day He finished it.
I suggest conforming your Sunday behavior with these texts:
True they won’t even press a button to cross a road so they installed one that is on a timer outside their synagogue in London.
They are also involved with blatant misogyny. They are not in any position to give us a moral yardstick.
Nothing wrong with shopping, especially for essentials.
And travelling (and travel-related actions like organising tickets and hotels) is usually classed as “recreation” (if you’re going on a vacation) and possibly also “family activity” if the trip involves seeing family. Both of which are perfectly suitable Sunday pursuits
Even if you’re travelling for business, you’d usually only be doing so on a Sunday if it were essential, like you had an early meeting on a Monday or something. Essential work is permitted on Sunday.