"Excavate at front and back at least to the DPC
Repair front gulley
Replace supply pipe
Install air bricks front and back"
yes, those are all good moves.
I don't think you need a fan. Any wind will help air to blow in one side and out the other.
For the excavation, dig until you see some sign of the original ground level, then another nine inches. You may find the brickwork spreading outwards and getting wider ("footings"), do not dig beneath them. You may find, especially if built with lime mortar, that it has washed away and the joints are nothing but mud. In this case, excavate only a couple of feet width at a rime, hose out the mud, pack the joints with sand and cement mortar, give it a couple of days to harden, do the next couple of feet. As it is below ground level it need not be very elegant, and there is no need for the wall to "breathe". You can get a pointing gun, like a cake icer, to help you ram the mortar into the gap. I don't know if hire shops have them. Cement mortar hardens very well in damp conditions, it does not need to set by drying out.
Do the wall before you dig out the gulley. The hole may be deeper than you expect before you reach an undamaged pipe.
You can fill in the trench in front of the wall with large pebbles or cobbles. These allow free draining of water and do not carry damp by capillarity. You can use clean broken brick or concrete and just put pebbles on the top for ornamention if you want. You are filling it in so you don't fall down the hole, and to prevent earth sliding into it. There must be no fine material smaller than a pebble or it will hold damp.
The height should be nine inches below the DPC, if there is one, to prevent water splashing up in heavy rain. As you are on a slope you may need to terrace or step the front garden in some way.
DPC became common in different towns at different times, mostly about 1875.
It is possible to saw a horizontal slot in a wall and insert a DPC but this is quite rare.
Chemical injections are useless.
In clean, unplastered brickwork, exposed to the air, damp will not usually rise more than two courses, or nine inches. Digging out the base, removing earth and rubbish under the floor, and opening the airbricks will allow ventilaton to evaporate water off the exposed bricks. Repairing the drains and other defects will reduce the amount of water being added to the wall. Damp will stop at the point where evaporation from the surface matches or exceeds water being absorbed. Any plaster or render encourages absorbtion and discourages evaporation, but lime is better than cement or gypsum. Inside the house, plaster above the skirtings, but not behind them. You can space the skirting off the wall with an 18mm horizontal batten along the top and bottom. The plasterer can work to the top batten. Leave the skirtings off until the wall has dried.