The second cartridge is, according to the headstamp, a Swedish 6.5 x 55 mm case, in Sweden originally for the Model 94 Carbine, Model 96 rifle, and Models 96/38 and 38 rifles, along with a machine gun or two. It is a blank cartridge, but with the plain wood bullet, I am not sure if it is Swedish-loaded or not. Norway also uses this caliber, and cases get passed around in Scandanavia.
The headstamp is a bit hard to read on my computer screen, but it appears to be a case from Ammunition Factory Svenska Metallverken (Code "26"). That firm was acquired by Norma some years after WWII, and the headstamp ceased to exist. One of the latest headstamps I have from SM was actually on a 9 mm Para made for Uruguay in 1966, and so dated. The AmF at the top of the headstamp simply stands for "Ammunition Factory" in the Swedish language.