I am wondering if I could put an overlay element over Google logo on map, or change its place to top right. I have an example picture( link is below ) that I made overlaying
You could move the logo (or remove it) quite easily with CSS - it's positioned absolutely. If you examine the map with Firebug, you can find the id of the logo div.
I wouldn't advise doing this, since it will break the Terms of Service (section 9.4)