It appears that the ground level of the hard standing at the front has been built up to the airbricks. These bricks are to provide through ventilation to the underfloor space.
The original DPC is likely to be in the mortar course between the top of the airbrick and the course above.
There is insufficient height between the ground level and the brickwork above the DPC to prevent splashback, which tends to keep the external brickwork above the DPC damp, which in turn will keep the inner wall cold and liable to a recurrent condensation problem.
Because the DPC is a barrier to water, water repeatedly splashed above the level of the DPC soaks into the bricks, and they can remain cold through evaporation and damp, with the dampness affecting the inner skin of brickwork too, and conducting away heat from the interior more effectively than dry brickwork could.
The ground level within about 300mm of the wall should be reduced by a sufficient depth that a new gravel layer over the soil is at least 150mm below the DPC to prevent splashback and to drain away rainwater. The airbricks should be cleaned to remove any debris.
Internally there is not sufficient air movement, and the wintertime heating levels are possibly intermittent and varying between cold and warm, encouraging condensation on cold walls.
Before doing any remedial work, strip off the wallcoverings and allow an unheated fan to play air over the wall. If the plasterwork is sound, clean thoroughly during dry warmer weather and allow to dry out. Apply a mist coat (diluted with water) of contract emulsion, not vinyl, and then covering coats of the same, allowing to dry between coats. Look for any deterioration of the paint coat over time with bubbling, flaking and fluffy or dusty salt deposits forming. If these appear, the plaster coat will require treatment, usually replacement.
The wall will dry off during the spring months, and appear to stay dry probably until October, since this is the usual pattern of condensation in the home.
Try to heat the home to within a small range of temperatures - with a minimum of 15 deg C, rising to 18-20. Use fans to prevent cold spots, damp cupboards and wardrobes etc. Turn heat up in very cold weather, but return to a basic thermostatted regime when milder.
Don't follow the pattern of turning the heating off at night, on high in the morning, off during the day, and on high again in the evening. This will heat the air and not the walls and windows to the same degree, and condensation will result, getting worse over the winter, leading to damage to wallcoverings and plasterwork.