Don,
1. Tambora: I went here to check Charleston, SC, records:
https://www.ncdc.noaa.gov/IPS/coop/
Dec 1815: warmer than norm
July 1816: warmer than norm
Aug & Sep 1816: normal
Dec 1816: warmer than normal
Feb 1817: colder than norm
Mar & Apr 1817: warmer than normal
May & June 1817: normal
June of 1816 isn't available. Perhaps that was colder than normal but we don't know. But otherwise, the subsequent 3 months are either warmer than normal or normal. Of the 10 months listed, only one was colder than normal and that not til Feb of 1817 while 5 were warmer than normal. So, at least for Charleston and probably also the SE as a whole, there is no indication of an 1816 year without a summer nor a longer term cooldown.
2. Krakatau: The winter of 1883-4 was, indeed, rather mild as Webb implied. However, January was very cold and the coldest single month in KATL between 1879 and 1894. Also, there was a big sleet storm in Atlanta (4"), Athens (3-5"), and Augusta (3") in early January