Hey, friend. When you can't hear or can't remember what your parents are saying in your dream, that means that you're not ready to hear the message yet. You can perhaps search within yourself to determine why or if the message is there already. As Glinda famously said, "You had it in your power all along."
Shoes, trains, buses, roads, etc. all refer to your life journey and the choices you have had to make at each junction of the journey. The fact that you were standing with your dad in your parents' bedroom when he said "your people" means, yes, he is referring to gay people.
The two eggs, one normal, one weird, stand for choices made in life. Eggs symbolize beginnings and potentials. The rain refers to "wet" things, things having to do with feelings and deeply held beliefs and needs.