In the case Snyder v. Phelps, the key issues revolved around First Amendment rights, particularly freedom of speech, and whether these rights protect protesters demonstrating near funerals, potentially causing emotional distress to the bereaved families. Here are the main points:

1. Freedom of Speech: The Westboro Baptist Church, led by Fred Phelps, held a demonstration near the funeral of Marine Lance Cpl. Matthew Snyder, displaying signs with strong messages against homosexuality and the military. The church's actions were seen as an expression of their views on societal issues.

2. Emotional Distress: Albert Snyder, the father of the deceased Marine, filed a lawsuit arguing that the demonstration caused him severe emotional distress during a vulnerable time.

3. Public vs. Private Speech: One of the core issues was whether the content of the Westboro Baptist Church's speech addressed public concerns or constituted private harassment, which could potentially limit its protection under the First Amendment.

4. Location and Conduct: The case also touched on the appropriate balance between freedom of speech and the rights of private citizens to conduct funerals in peace. This involved examining the location of the protest and whether it was conducted legally and respectfully.

The U.S. Supreme Court ultimately ruled in favor of Phelps, emphasizing the importance of protecting even hurtful speech on public issues to uphold First Amendment rights, as long as it is conducted lawfully.

For more details, you can refer to the opinion of the court here.