I have reworked my example to hopefully make it easier. Try this:
function doGet(e) {
var ss = SpreadsheetApp.openById('<sheetID>');
var sheet = ss.getSheetByName("Logins");
if ( e.parameter.func == "register" ) {
var user = e.parameter.user ;
var passwd = e.parameter.passwd ;
sheet.appendRow([user,passwd]);
msg = "New User Added";
}
else if ( e.parameter.func == "login" ) {
var msg = "Incorrect Login";
var user = e.parameter.user;
var passwd = e.parameter.passwd;
var loginData = sheet.getDataRange().getValues();
for ( var i = 0; i < loginData.length; ++i ) {
if ( user === loginData[i][0] && passwd === loginData[i][1] ) {
msg = "Logged In";
}
}
}
return ContentService.createTextOutput(msg);
}