Is the refixing of the board the responsibility of the house owner or
the electicity company?

Electric Co. and usually FOC (never known one to be charged for yet*).

Depending on the type of cable it may not be safe to try to replace
yourself anyway - some paper/lead (PILC) cables don`t take kindly to
being moved after being in the same place for a considerable length of
time.

As an aside, the meter board is supposed to be there for the electric
co's use only, and shouldn't have a consumer unit on there.

* in the big scheme of things now, depending on who your supplier is, the
REC might pass on costs to the supplier which they might, in turn, try to
foist on you as a customer. If they try this resist strongly and remind
them that they have a statutory duty to ensure their equipment is
maintained or replaced as necessary. You are not able to break the seals
on their equipment to remove the cutout to enable you to replace the
board, ergo, the meter board is their equipment and responsibility.

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