Nope it's not an external NTE, just a brown, round box attached to the soffit. One of the cables runs to a NTE socket at the back of the house, not a good location for me, the other two to what look like LJU1's, again not in good locations. There must have been a line previously but it's not active now (no tone).
I'll have to have a closer look at the junction box it may well be that the cable from the pole isn't actually connected to it, the house had some refurbishment carried out before I got it so maybe the builders have dislodged some stuff!
I take it that a new cable without any joins would be the best option then, but will it make a significant difference? Is the cable used today any better than what was used a few years back? And how much work will Openreach do to help get the most suitable install for a customer?