Just from the photo, or viewed from the ground, I'd give the chimney a medium-term rating of "within the next 10 years" for repointing. A lot can depend on the actual softness of the mortar not just that which is missing, and further deterioration tends to be accelerated once mortar erodes, not linear.
However, that dark patch 3/4 of the way up is a sign that the bricks are getting excess rain penetration - typically because of poor pointing or poor flaunching.
Also check which is the most weathered side and if not that one in the photo, is it worse? Also if the stack is leaning.
If the pointing is to be renewed, then likely the flaunching on top around the pot needs replacing too. So that's an extra cost, and if having it done. get the bloke to take photos of the old stuff removed and the new stuff applied. Going over the top is not acceptable.
The tiles have got a text-book life of 60-70 years, but that it notional and often are good for a long time past that. If the tiles are not cracked, or the interlocks broken, then you can wait until they deteriorate. Typically though, its the bitumen felt that is the issue, as these tiles naturally let some water through and rely on the felt. But the roof is not leaking now , again no need to rush into replacement.
Leave the moss. It does not need to be removed. Over the last few years, certain "traveling" roofers or suchlike have started to make roof jet-washing a thing, but its purely just a money-making thing, no other purpose.
If the stack is redundant, have it taken down when the tiles are replaced