Yes and No. Judaism did have numerous branching off points, but these points did not come immediately after its founding. They took centuries to develop.
Answer:
Not really. What happened was that various splinter-groups have broken away from Judaism and have either disappeared or become something entirely different. These include the ancient idolaters among the Israelites, the Hellenizers, Essenes, Karaites, and others.
Yes, but Judaism has only two major sects. However, they have very different perceptions of each other and these are the Torah Jews and the Liberal Jews. The main divisions between these sects is the ability to use non-Judaic source content to abrogate and modernize Jewish teaching and practice. Torah Jews believe that such things represent a deterioration of Jewish identity and purpose whereas Liberal Jews see Jewish Identity to be more internal or ethnic and the religious aspect to be secondary. As a result, Torah Jews believe Liberal Jews to have "lost their way" and Liberal Jews see Torah Jews as being antiquated and "out of sync" with the modern world. Regardless of whether a person is a Torah Jew or a Liberal Jew, that person may also practice rites derivative of his ancestral region such as Eastern European customs, Iberian customs, North African customs, etc. These customs do not affect other Jews as perceiving him as Jewish and these rites are all co-equal.
Within the Torah Judaism Sect there are a number of movements distinguished by their level of integration with the non-Jewish World, their styles of prayer, and their level of conservatism. The Modern Orthodox are typically seen as the more liberal branch of Torah Judaism and typically wear Jewish paraphernalia (such as a Kippa and Tzitzit) although they will dress in a typical business-suit and work in Western companies. On the more conservative side are the Hasidim and Ultra-Orthodox who wear unique vestment at all times and are recognizable by their payyot (sideburn-curls).
Within Liberal Judaism there are a number of movements also distinguished by their level of integration with the non-Jewish World, their styles of prayer, and their level of conservatism. At the most liberal are Secular Jews who may make Jewish foods and sing Jewish songs, but rarely attend synagogue services and do not perform the daily acts required of Torah Jews. In Liberal Judaism there is a question as to how much Hebrew and how much Vernacular should be used in a Synagogue Service. Conservative Jews, on the more conservative side typically prefer more Hebrew, whereas Reform Jews prefer more Vernacular. Liberal Jews are often well-acclimated to non-Jewish society and may have many non-Jewish friends and contacts.
The Judaism branches are the Orthadoy and the Reformers!
Jerusalem
Rabbis and cantors
Israel
Of course not.
The is no such thing as a "judaism".
Jews worship in synagogues.
Judaism does not have a centralized leadership.
Belief in God and in the Torah.
The lord God or Yahweh is the diety in Judaism.
Only One God.
No, Jews worship in synagogues.
Judaism's primary language is Hebrew