What three questions did the Supreme Court ask lawyers to address in Lawrence v. Texas?

In the case of Lawrence v. Texas, the U.S. Supreme Court asked counsel to address the following three questions:

1. Whether the petitioners’ criminal convictions under the Texas "Homosexual Conduct" law—which criminalizes sexual intimacy by same-sex couples but not identical behavior by different-sex couples—violate the Fourteenth Amendment guarantee of equal protection of the laws.
2. Whether the petitioners’ criminal convictions for adult consensual sexual intimacy in their home violate their vital interests in liberty and privacy protected by the due process clause of the Fourteenth Amendment.
3. Whether Bowers v. Hardwick should be overruled.1