Is there a legally mandated filing fee and/or deposit?

Eswatini
Constitution 2005, Article 105
The High Court shall have jurisdiction to hear and determine anyquestion whether –
(a) any person has been validly elected or appointed as a Memberof Parliament;
(b) any person has been validly elected as President, DeputyPresident, Speaker or Deputy Speaker; or
(c) any person, having been validly elected as President, DeputyPresident, Speaker or Deputy Speaker, has validly vacated that office.