For an exact search for 'Izrael Honigsztok' only two results came up, and only one fit the range of birthdates to have been young enough to sign the album.
I connected Izrael to a father (Luzer, b. 1902) and a mother (Perla, b. 1902) through matching addresses. Like her son, Perla was also deported on June 30, 1942, however there is no corresponding deportation in the Secondary Sources, so where they went is unclear. There is a transport number next to the date in Perla's record, so that is where I got the transport number from.
Luzer, the father, does not have deportation information listed with him. Instead, there is a date that indicates when he moved from the Sperling address to the West address. While we cannot be certain, I have guessed that this is also when Perla and Izrael moved addresses too.