Points of influence gained by Lord power
The rules say:

LORD: Earn 1 (influence), plus 1 (influence) per adjacent card that is
in your family.
Each adjacent card in your family earns you 1 (influence) regardless
of whether it is revealed or covered.

So you would count all adjacent cards.  if you have a total of 4 adjacent cards you would score 5 points.  one for the Lord and 4 for the adjacent family members, revealed, covered or not.
Note these need to be adjacent to the Lord,  just having family members in the row, as you give in your question, would not be enough.  Adjacent means they have to be part of a stack next to the Lord card.