The logo that appears at 0:39 is custom-drawn, though it’s obviously related to the logo used in much of the original marketing. I wonder if it was a candidate at one point for the logo to be used with the title crawl (which had white text in early test versions).
Also, those white lightsaber sticks are what the original in-camera lightsaber effect (using glowing sticks powered by electric cords hidden up the actors’ sleeves) looked like. It just didn’t work very well.