Hi, my name is XXXXX XXXXX X will be helping you today.Sorry to hear about your problem.Yeah, kids can't resist new concrete. You could try using a rubbing stone, but you may end up doing the entire new section so that you get a uniform look in the end. A rubbing stone can be purchased at any local home improvement store and looks like the picture below.
As far as filling cracks, use a grey urethane sealant. This sealant never really cures and stays flexible to expand and contract with the concrete. This can also be purchased at your local home improvement store. Follow the instructions, such as, cleaning the crack really well before sealing.If you are satisfied with this answer please leave me a positive rating at your convenience.
Does the rubbing stone smooth it out or put back the little ridges? My problem is the whole walk has a bit of a texture to it except where I rubbed it out. I was wondering if there's a way to skim coat that little 12" circle area and put the textured look back?
Thanks for the sealant answer - I'll look to buy that for the crack.
Just one more followup please - so is there anything I can do to roughen up that little patch without adding something then?
Not if the concrete is hard. Any method you try will only remove what is there. In other words you can only get results by removing material; you cannot add material. So any process of trying to roughen it wouldn't be easy to match the finish you have now, which is probably a broom finish.