The cement on my exterior chimney is crumbling due to the deteriorated interior liner on the inner side of the blocks. Some chimney companies have recommended to knock it down and rebuild costing over $3,000. Is this something that would be covered with normal home insurance? I did not want to open a can of worms by calling my home insurance company. Thank you!

So, I noticed recently that my closet in my basement (subterranean) started getting slightly wet on the carpet after a heavy rain. I pulled the carpet up and noticed the basement floor was wet. I live in an end unit carriage home that is joined on the side by my neighbors garage. The closet basement in question is on the foundation wall closest to the driveway (directly next to and underneath it). After doing some investigation, I found that there was a hairline crack going down the length of my neighbors driveway along with a crack in the corner that water would just "disappear" into. And by disappear I mean it reappears in my basement. I put a hose on it and sure enough, water started dumping in. I got some waterproof/flexible cement patch goop, and applied it the length of the house, and in the corner: This helped, but didn't solve the problem completely. I think the issue now is the black rubber "tar" or whatever it is that is used in the strip between my neighbors garage and his house is leaking. I can pour water on it and it disappears (again, into my basement, albeit slower). I think the issue is water getting underneath this black stuff and draining toward my house right above my foundation and slipping in above the foundation and trickling down the inside of it to my basement. What is the fix for this? Can this black stuff be removed and replaced to be water tight? If so, is it a DIY job or do I need to call a contractor to do it properly? I'm cross posting this to get some extra help! Thanks!