There's no such rule, but the very Orthodox will not use a manual razor.
No. It is encouraged to shave your underarms.
A Rabbi (or any Jew for that matter) are allowed to have as many children as they want.
yes
It is an outward expression of religious faith.
yes Yes, as of the 1970's, there have been women ordained as rabbis.
Yes, with a knowledgeable Jew supervising (not necessarily a Rabbi).
yeah; they're called rabbi, just like a man would be
You'll need to ask an Orthodox rabbi about that.
Let your hair grow back.
Originally, it was a rabbi, a rabbi, and a rabbi walk into a bar. . .
Rabbis. Here are a few examples from the Talmud. Rabbi Yochanan ben Zakkai, Rabbi Yonatan ben Uziel, Chanina ben Dosa, Bava ben Buta, Shimon ben Hillel, Rabbi Eliezer, Rabbi Yehoshua, Rabbi Yossi haKohen, Rabbi Shimon ben Netanel, Rabbi Elazar ben Arakh, Rabbi Yochanan ben Nuri, Rabbi Akiva, Rabbi Nechuniah, Rabbi Nachum Gamzu, Rabbi Yossi Glili, Rabbi Honi Me'agel, Rabbi Abba Shaul, and hundreds of others. Each of these had large groups of disciples.
The spiritual leader within Judaism is a rabbi. But a rabbi is not a requirement for prayer. Any Jew over the age of 13 can lead a service.Anyone is allowed to lead the prayers. The one who does so is called the chazan.