LENR means Low Energy Nuclear Reaction which is also known as ‘Cold Fusion’ even though the title says it isn’t.
From all that I’ve read it is pretty clear the folks working on LENR are agreed that cold fusion is something distinct. I’ll see if I can dig up a link. But the article in this link also touches on the distinction between the two.
OK, if you look at the bottom of the article this thread links to, Krivit has a series of links on:
Recommended Reading: Distinction Between LENR and “Cold Fusion”
(Note that this distinction was being made PRIOR to the Rossi E-cat unveiling, based on the dates of most of the links.)
It's a matter of opinion. To "fusion" scientists, "fusion" involves isotopes of hydrogen making helium. For me, if the reaction product is of a higher atomic number than the input, then it's fusion.
The e-cat reaction appears to be a catalyzed reaction, where instead of a hydrogen proton directly fusing with the nickel nucleus, it gets converted into an Ultra Low Momentum neutron by absorbing an electron, which gets readily absorbed by the nickel nucleus, creating an unstable isotope which emits an electron via beta decay and turns into copper.