Which site are you checking your application with? The one that requires a secure sign in or the one I linked in my timeline? (https://secure.rcmp-grc.gc.ca/eCFISIWS/editLicenceQueryAuthentication.do) I was using the secure sign-in one and getting the same messages you were. I only knew my application was entered by my credit card being charged. So I phoned in to get my application number. I found that second link after - it's much simpler to use.
Thanks! This one actually gives me some info about my application
Right now it says "Your application has completed initial processing. It is now in progress. Please check the status again at a later date." Which still is annoying but at least I'm not wondering if it got dropped behind a desk somewhere.