Ok, just wanted to post the final code that worked for me:
<script language="javascript" type="text/javascript" src=" /sites/hp/JS/jquery-min.js"></script>
<script language="javascript" type="text/javascript" src=" /sites/hp/JS/jquery.SPServices-2014.01.min.js"></script>
<script language="javascript" type="text/javascript">
function PreSaveAction() {
var PCRNumberMain = $("input[title='PCR Number']").val();
var ReleaseDateMain = $("input[title='Actual Release Date']").val();
$().SPServices.SPUpdateMultipleListItems({
listName: "{11D7C2F8-8BCD-4EB8-A85C-10978D39BFED}",
CAMLQuery: "<Query><Where><Eq><FieldRef Name='NewColumn1'/><Value Type='Text'>" + PCRNumberMain + "</Value></Eq></Where></Query>",
batchCmd: "Update",
valuepairs: [['Release_x0020_Date', ReleaseDateMain]],
});
return true;
} </script>
Thanks for all the help Marc. Now I just have to figure out the CAML part to tell it to ONLY update where the Release Date is Blank.