Subject to the provisions of this section, a person shall be disqualified from being appointed or being a member of any local valuation panel if he is a person who—
A disqualification attaching to a person by reason of subsection (1)(a) of this section shall cease—
A disqualification attaching to a person by reason of subsection (1)(b) of this section shall cease—
For the purposes of subsection (1)(c) of this section, the ordinary date on which the period allowed for making appeal from a conviction expires, or, if such an appeal is made, the date on which it is finally disposed of or abandoned or fails by reason of the non-prosecution thereof, shall be deemed to be the date of the conviction.