IVB:
In order:
# 1, not too horrible IMHO. The worst is that picture is what the LV guy ty-rapped the coax to the HV. Really doesn't look too bad. Not artwork, but not horrible.
#2. Actually the splices shown...well let me re-word that, TAPS, for the BX is compliant and legal. The BX has the appropriate connector installed and the tap appears to be western union'ed to the K+T, friction taped, insulated and wrapped. The NM (Romex), if it had a similar connector, usually called a monkey fist, face or service entrance caplet, that would be legal also. Basically, you're supposed to have a fitting to terminate the new wiring method, but the open air connections are legal otherwise in the specific case of K+T. The installation of the fiberglass is what changes the install, nothing else besides the lack of a fitting.
#3, really not that horrible overall. My pet peeve is the method used to support the LV...that's not compliant.
For the sticklers out there, from the NEC:
300.15 Boxes, Conduit Bodies, or Fittings — Where Required.
A box shall be installed at each outlet and switch point for concealed knob-and-tube wiring.
Fittings and connectors shall be used only with the specific wiring methods for which they are designed and listed.
Where the wiring method is conduit, tubing, Type AC cable, Type MC cable, Type MI cable, nonmetallic-sheathed cable, or other cables, a box or conduit body shall be installed at each conductor splice point, outlet point, switch point, junction point, termination point, or pull point, unless otherwise permitted in 300.15(A) through (M).
(F) Fitting. A fitting identified for the use shall be permitted in lieu of a box or conduit body where conductors are not spliced or terminated within the fitting. The fitting shall be accessible after installation.
300.16 Raceway or Cable to Open or Concealed Wiring
(A) Box or Fitting A box or terminal fitting having a separately bushed hole for each conductor shall be used wherever a change is made from conduit, electrical metallic tubing, electrical nonmetallic tubing, nonmetallic-sheathed cable, Type AC cable, Type MC cable, or mineral-insulated, metal-sheathed cable and surface raceway wiring to open wiring or to concealed knob-and-tube wiring. A fitting used for this purpose shall contain no taps or splices and shall not be used at luminaire (fixture) outlets.
(B) Bushing A bushing shall be permitted in lieu of a box or terminal where the conductors emerge from a raceway and enter or terminate at equipment, such as open switchboards, unenclosed control equipment, or similar equipment. The bushing shall be of the insulating type for other than lead-sheathed conductors.
Followed by:
394.56 Splices and Taps
Splices shall be soldered unless approved splicing devices are used. In-line or strain splices shall not be used.