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I love those boxes. Makes it real easy to drop a NM down for a receptacle, and have a hdmi or catv connector on the other half. I guess also most people dont realize only the added recpt needs to be inspected. Ide never call for an inspection about a load side power cord coming off a XF being run in a wall....but i have done something as creative as using a short piece of NM jacket for mechanical protection over a LV cable.
1)Both phone and the power to the base are low voltage. As long as the insulation of both are rated for the same voltage, theres no issue. 2) Again, its low voltage, so not an issue. 3) I dont see a sink in any of the photos, so the receptacle above the counter doesnt need to be changed, and unless the receptacle under the counter is within 6 feet of a sink, it doesnt have to be one either. If its separated by one or more bulkheads underneath, then applying the 6foot linear rule would be hard anyway.