Larry:

I'm not an electrician, but I can tell you that the electrician who was hired to rewire the house in the photos said he is going to disconnect all of the K&T, as it is at least 70 years old.
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Something else I just noticed, third photo down...Where there is a tube that sits on top of another tube (perpendicular to it), small coils of wire were placed on either end of the tube to keep it from sliding. I saw this in similar situations throughout the house. Seems that nothing went to waste back then...

Regarding the last photo shown, no box was used to enclose the splice, and the Romex is not supported properly.