To the best of my knowledge, Judaism only became fully monotheistic during the Exile, or shortly before, with Josiah's reign likely to be an important turning point either way.
Zoroaster's chronology is a hell of a mess, but there's some reason to think that some Avestic material dates back to some centuries before the Achemenid Empire.
So, Jews were probably either already monotheistic, or very close to that, by the time they met Persian religion significantly after about 540 BC. It is pretty likely that this religions influenced them in significant ways, but probably it di not inspire Jewish Monotheism in a fundamental way.
Inspiration from Atenism, AFAIK, is also quite questionable, unless in VERY general terms (there are Psalms that seem to reflect the Hymn to Aten at some points).
In general I think that Jewish Monotheism is pretty much a jewish creation, although obvisously one made in a cross-cultural and imperial context where elite Jews would'nt have been able to avoid outside cultural influence (not to mention political domination) even if they had wanted to.
Islam is definitely an Abrahamitic religion very much along the models of post-exilic Judaism, it takes a lot of Judaic elements, and well, Allah is the Bible's God, period.
Persian cultural influence existed in Pre-Islamic Arabia, and a lot of Persian stuff entered the Islamicate world at large. Some elements of Islam may Persian, but the basic stem is almost unquestionably Judaic/ Christian, not Zoroastrian.