You could just update the StartLimit for that recordset.
<?php
$rsRESTOFNEWS = new WA_MySQLi_RS("rsRESTOFNEWS",$csdbmysqli,10);
$rsRESTOFNEWS->setQuery("SELECT newsID, newsdate, newstitle, newssummary, newsdelete FROM news WHERE newsdelete = 2 ORDER BY newsdate DESC");
$rsRESTOFNEWS->StartLimit=5;
$rsRESTOFNEWS->execute();
?>