Just to get back to you about your questions.
The Torah, consists of the first five books of the Bible -- Genesis, Exodus, Leviticus, Numbers and Deuteronomy, along with the books of the Kings and the prophets, for example King Saul, King David, Jeremiah, Ezra, Daniel, etc. The Torah constitutes Jewish written law. We also have our Talmud, which is our Jewish Oral Law. It goes into more detail on how the written law is to be observed.
Kosher dietary laws are mainly for spiritual purposes, along with causing the animals as little pain as possible. As I'm sure you know, Jews are not allowed to eat shellfish and pork. But for the animals we are allowed to eat, they must be slaughtered as humanely as possible. Once the animal is dead, the meat must be cleaned and salted, to remove any remaining traces of blood, which we believe carries the soul of the animal.
Furthermore, we don't mix dairy and meat. This comes from a command in Exodus that we should seethe the kid in its mothers milk. We are not allowed to slaughter an animal in front of its mother, or vice versa. We separate milk from meat, because milk represents life. It's what newborn animals drink from their mothers to grow big and healthy. On the other hand, blood represents death, because if you lose enough of it, you die.
Regarding your question about attending a Synagogue, men and women sit separately in Orthodox Synagogues. That is so they stay focused on G-d, rather than the opposite sex, or their spouses.
If you have any more questions, just ask.