The following persons are entitled to have their names entered on an appropriate existing register in the order prescribed by § 332.401 if they were last employed under career or career-conditional appointments:
(a) A preference eligible who is declared eligible therefor after appeal from furlough or discharge; and
(b) A preference eligible who has been furloughed or separated without delinquency or misconduct and who applies within 90 days after furlough or separation.