Proto-Indo-European is much earlier than that. The earliest Greek speakers invaded Greece no later than 1900 B.C. The Anatolian languages (Hittite, Luwian and Palaic) were in Asia Minor by 2000 B.C. (they are variously considered Indo-European or a closely-related language family).
I was looking up maps to support my statement above and found that I was wrong. You are correct about those dates