All of these were probably preserved in an oral tradition going back to the Bronze Age, so having a king named "Agamemnon" in the 8th century B.C. may just be a contemporary borrowing a name already famous from epic poetry.
Reminds me Vienne in France where archaeologists in the 1920s were shocked to discover a large Roman theater under medieval buildings.
The locals had always called the street, "Rue du Theatre."
Of course there was a Trojan War.
Homer’s descriptions of Greek armor are accurate for the period of 1200 B.C. the time period he placed the Trojan war in, almost 400 years before his own time.
Also the evidence of war at that time, spear points, sling missiles, burnt areas and hastily buried bodies...some of which points to Greek origin.
For anyone interested, the historian Barry Strauss recently published an excellent book on the subject. He makes a very good case that the Trojan war was history not myth. Homer’s story is like a small snapshot of events embroidered with legend.