The Jews who identified with and imitated the Greeks were called Hellenizers.
Jews practice the beautification of the menorah during Hanukkah.
Hanukkah is the only name for Hanukkah, but it is sometimes called the Festival of Lights by non-Jews.
Jewish people worship God...every day, not just during Hanukkah.
The Hanukkah-menorah, also called a Hanukkiyyah, is used on Hanukkah.(Jewish people also have a different candle holder, called a menorah, that some venues use for decoration or as a religious symbol, all year round).
Gifts do not go with the lamp.Gift giving during Hanukkah is a modern practice that only stated a few decades ago, among non-Orthodox Jews. It has nothing to do with the lamp (called a Chanukiah or Hanukkah-menorah).
Hanukkah begins on the 25th of Kislev. This is at the end of November or during the month of December.
Almost all Jews celebrate Hanukkah.
Fasting is prohibited during Hanukkah (Talmud, Rosh Hashanah 18b).
Not more or less than the rest of the year.See also the Related Link.More about Hanukkah
They don't. Jews believe that Jews should celebrate Hanukkah.
There are no traditional Hanukkah costumes. The only time Jews wear costumes is on Purim.
Yes, just like every other time of year.