The word "expert" is formed from the conjunction of two roots which phonetically can be represented as "x" and "spurt". Everyone knows that "X" is an unknown quantity. A "spurt" is what one gets from squeezing a drop of water. Therefore, an expert is an unknown drip under pressure.
so I really do not know if I am an expert, I have done some rock and stucco work,
my definition of tuck point is to knock out the loose and then put in new mortar in the joints of the rock leaving the face of the rock exposed,
If the stone is flaky or could pop, one may want to put metal lath on or chicken wire and fasten it in the mortar joints to give the top coat a better grip,
in this I would not worry about starting and stopping, just do what you can do,
on the cover or stucco the surface, I would most likely put on a scratch coat, a coat that would basically level it and make surface to be able to put a nice surface coat on, I would do it two or three stages depending on how uneven the surface is, on the base coats I would "scratch" it so the next coat would key into the first,
picture of scratch coat
Plaster & Lath Code Dialogue
next is the brown coat where more imperfections are worked out and finally the top coat, which is a thin surface coat,
when the under is a good level surface, the top coat can go on fairly fast,
trowel on a masonry mortar, (I use a hawk, and a plaster trowel, one can use a cement trowel if necessary, plaster trowel is usually shorter and wider than a cement trowel), many times I will just sponge the brown coat or the finish coat, after setting it will leave a sand finish and it will help level it and leave a surface that is workable for many instances, in appearance and surface quality, it is nice to be able to to a complete area for the finish but if you can not try to find a natural break (window or doors) to make the splice as minimal as possible as some times the color can change a little do to circumstances, if you use a Pre mixed top coat it has less variation than field mixed, (by Pre mixed the color sand and cement and lime is all mixed in a factory, field mixed the cement lime, or mortar is mixed with sand and color at the job site).