Re: The dot Command not able to repeat text inserted by "Auto-complete"

You ran again in both problems: C-h k M-. is a command which should be abort recording of repeat information (second issue). The repeated use of C-. runs in the undo-problematic because C-h k M-. is *not* an editor command and hence does not change the buffer (first issue).

Thanks for the explanation, hopefully you will still come up with some sort of solution.