If this is high with a steep pitch to the roof, respect it. Have a safety rope around your chest and under the armpits (in case you fall you don't want it close to your neck). Those brick definitely need tuckpointing, judging from the top photo, but that may be just the shadow cast from the sun in the photo. However, the lower photo appears not too bad, just fill in the small holes-no need to knock out all the concrete. If you tap on the cap with a hammer, does it have a "hollow-wood" sound and pieces easily break off, or a solid "whack" sound and nothing cracks. Hollow sound indicates it is loosening the adherence to the top bricks underneath. The "whack" means it is still tight and strong.
If that is the worst that the cap is in the picture, only one deep crack, I suggest just using an exterior caulk to fill in. Otherwise, it's not pretty but seems pretty solid to me. GE All Purpose 100% Silicon caulk is a good one I have used for my chimney.
After, you definitely want to apply a good, clear seal to help protect against weather. There are several good ones on the market.