What remedies are available in the first instance?

http://www.irishstatutebook.ie/1993/en/act/pub/0028/print.html

Presidential elections act, 1993

52.—

(3) (a) As respects each candidate, one request(and not more) may be made by the candidate or the election agent of thecandidate to the presidential returning officer during the ascertainment of theresult of the voting for a complete re-examination and recount of all parcelsof ballot papers and, where such a request is made, the presidential returningofficer shall (subject to paragraph(d)(ii)), cause each local returning officer to re-examine and recount theparcels of ballot papers accordingly and notify him, in such manner as he maydirect, of the result of the re-examination and recount.

(b) In a re-examination and recount under paragraph (a), the number ororder of ballot papers in any parcel shall not be disturbed but if an error isdiscovered which is, in the opinion of the presidential returning officer, asignificant error likely to affect the result of the election, the presidentialreturning officer shall cause all the papers to be counted afresh from thepoint at which the error occurred.

(c) Where an error is discovered, thepresidential returning officer shall, where necessary, amend any resultpreviously announced.

http://www.irishstatutebook.ie/1993/en/act/pub/0028/print.html

Presidential elections act, 1993

PART V

Presidential Election Petitions

57.— (9) At the trial of a petition the High Courtshall determine the matter at issue in the petition and, if it does not dismissthe petition, shall, where appropriate, include in its order determining thematter at issue either—

(a) a declaration of the correct result of theelection, or

(b) if it considers that it is unable todetermine the correct result of the election, a declaration that the electionor a specified part thereof was void together with a statement of its reasonsfor making the declaration.

(10) Where the court declares that a presidential electionwas void, a fresh election shall be held in accordance with this Act and theMinister shall, as soon as may be, make a presidential election order inrespect of the fresh election.

(11) Where the court declares that part of a presidentialelection was void, the court may direct that the poll at the election shall betaken again in any constituency or part of a constituency and shall for thatpurpose fix the day on which and the period during which such poll shall beretaken and the provisions of this Act shall apply in relation to such takingwith any necessary modifications.