Ice core data from Greenland has been used to date eruptions, but not all of those eruptions have been attributed to any known volcano. The supposed signal for the supposed Theran eruption turned out to be no such thing, when someone finally bothered to look into it.
A big volcanic kaboom can have serious localized consequences, but in all of recorded history, only Tambora has scattered its effects over most of the world.
Also, the crater diameter is 6km, not 5 miles. It's really cool looking though. There are people who climb down into it, that's a good bucket list item, especially if it's right at the last item.
First of all, if you have not read Winchester’s book on Krakatoa you have missed a good read. Several world wide effects were recorded including changes in atmospheric pressure. Also tidal effects were world wide I seem to recall. I read separately that Atlantic City’s Salt Water Taffy was created when high wave(s) flooded a building where taffy was stored/sold. I think these were the same date as Krakatoa’s 1883 eruption. Needs checking. If I remember correctly Turner’s sunset rich paintings were attributed to a volcano, also needs checking.
Regarding diameters and power—I calculated the area of a circle of 4 miles and one of 3 miles using pi r squared. Figures were 12.5 sq. mi. and 7.065 sq. mi. I did not know how to factor in the greater square volume. Thus Tambora was certainly greater than Pinatubo, and I remember observing at the time that weather conditions in North America certainly seemed to be affected by Pinatubo, although not to the extent experienced from Tambora.