I am not so sure that we are suffering from low pressure.
As far as the shower goes there is a combination of low flow (the Flojet pump delivers only 5.2 litres per minute), a very long cold water pipe which has to deliver the cold to all the taps plus the water heater, and an unsuitable shower head....the holes in it are too big to produce good jets. All this results in what I call lack of "scoosh".
So increasing the pressure setting on the pump would not deliver more water as the pump is already running flat out.
With regard to the pulsing, when I turn on a cold tap, let's say the bathroom basin tap to clean my teeth,or the kitchen sink tap to wash vegetables, I do not want a lot of water at once, so I just turn it on a little.
The pump starts, the pressure immediately builds up, so the pump stops, pressure drops so it starts again, stops again.....and so on. This start/stop is about once a second and, in our case, when using the bathroom tap, accompanied by a loud knocking noise in the pipework. In the bathroom tap the water comes out in "pulses", this does not happen with the kitchen tap.
So, increasing the pressure at which the pump cuts in and out would not necessarily solve this, but I am certainly willing to try it.