I'd say that's an old Victorian wall judging the stone on top?
That latch may have been added at a later date with cement hence it's looks in poor condition.
Probably lime mortar?
If so I'd not use cement.
Remove pilar and rebuild is best way.
Point wall with lime mortar if required.
Coat wall in stormdry.
Come back in 100 years and see how it looks.
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