After cleaning out the soft parging, new cement was liberally applied, inside and out.
Tar was sprayed onto the cement, to aid as a sealant.
The dirt was pushed back in, a cheque was written out, followed by a conversation about new deck possibilities and a handshake. Then the rains came -- torrential, as seems to be the new norm. I nervously descended the stairs. It isn't 100% (beneath the mudroom, where cinder blocks were used, remains a point of seepage) but the basement is much, much dryer than it used to be, and I am breathing easier.
Next: a new deck.