Repointing versus rebuilding stone masonry
If the stones are sound and the wall stands straight, repointing the worn joints is usually the better call, because it keeps the wall you already have and costs less than starting over. When a wall leans, bulges or keeps dropping stones, the problem is usually water or a weak base, and new mortar won't fix either, so I'd rebuild that section with drainage behind it. Cracks in the house itself are a foundation repair question instead.

