Sounds like a complete "what are removed during castration" up!
1) Unanswerable in a way, not in another way. I'm a bit confused as the "landing" to me would be at the top of the stairs, not the hall where you said the master was. But certainly having two NTE5s is a very bad idea. If he didn't do anything at all at the first NTE5 then it's a botched job and you probably have two masters.
2) It depends where the living room socket is supplied from. The extensions are possibly daisy-chained with under the stairs being the first and feeding the others. In which case he could have sorted out the filtering for it at the new NTE5. As he didn't touch the first NTE5 the first NTE5 would then be unfiltered.
But that socket under the stairs seems an odd place for one. Is it in a cupboard and you asked for it there as an extra from the builder?
If you remove the faceplate from the under-stairs socket, does the phone work into the living room and/or the hall sockets? Are there any wires attached to the faceplate?
3) It's quite unusual to be below the estimate at Day 1. Hampered by the wiring, almost certainly. Does it sync up, No. (Neither does ADSL except with Sky).
Ideally you open all the sockets, post photos of the internal wiring of each somewhere, and give us links.
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Edited by RobertoS (Fri 11-Apr-14 17:39:35)