Hinduism...Was Lord Ganesha worshiped during Vedic age?

I don't think you should worry. With the exception of lucid dreams, the dreamer usually has little to no control over the events that take place within a dream. They are a product of your subconscious mind and they should not be readily equated to your religious beliefs.

You don't have to tell your parents about you vision of Ganesha if you feel that they will respond negatively. Its okay to keep some things to yourself. Ganesha is considered very good luck.

It's a very positive thing to see Ganesha in my opinion. Personally I've never had this sort of dream, but I imagine it would be powerful. You may want to read up on Ganesha if you think it's some sort of message.

They were eternal lovers, never got married.

I cant really gove you an answer,but what I can give you is a way to a solution, that is you have to find the anglde that you relate to or peaks your interest. A good paper is one that people get drawn into because it reaches them ln some way.As for me WW11 to me, I think of the holocaust and the effect it had on the survivors, their families and those who stood by and did nothing until it was too late.