Good to see in CW the internal meter and external meter agree. SSB complicates the measuring as a external audio driving source is needed and the external meter is still an unknown device. A peak reading external meter must be able to hold and display the peaks of the audio driving source. While meters may have a peak reading switch they also need powered electronics to pull it off with any degree of accuracy. That level of circuitry is typically not seen in low cost meters. Your radio already has the required hardware to support peak reading. Personally I would trust the radio reading before the external meter. Lots of information on the net to research RF power measurement, but like anything on the net review with caution. If Marconi was not curious and persistent we would still be using string and tin cans.
Good Luck!
Good Luck!