With respect to touch and go landings. In a perfect world all landings to full stop would be ideal but it is simply not practicable at many airports. However one can often get stop and go landings which a good compromise and which help put a definite break between the landing and the takeoff, a particularly valuable feature for the early landing lessons.
It's for this exact reason that instructors operating out of high density traffic airports should make it a practice to locate nearby satellite fields where students can be taken for initial landings and takeoffs.
In the United States anyway, I've never once seen a situation where this was not possible and/or feasible.
Dudley Henriques