In Lewis Carroll's 1871 sequel, Alice reaches a fantasy world by passing through what object, an old name for a mirror?

Which gem's name is also a term for a baseball infield? What is another name for a cowboy's lasso? Which compound word is an old American term for a woman's handbag? Ireland's famous hospital lottery, tied to horse race results and held until 1987, was called the Irish Hospitals' what? Which word means a long search, like the knights' search for the Holy Grail? Which saying is closest in meaning to "let sleeping dogs lie"? In "LDS Church," the common abbreviation for the Mormon church, what do the letters "LDS" stand for? What is another name for the Ten Commandments?