I took your JPEG(quite large, over 13 MB’s, made for print I guess) into photoshop ,cut the logo out from the white background w/magic wand, placed the logo on a 720X480 (72dpi) screen w/transparent background, then scaled the logo to a lowerthird position, then used the Gauss blur(1 pixel), then used sharpen more filter…
then saved the logo lowerthird w/transparent background, as a PSD, & imported into Vegas…
..it looks a little soft, but far better than the steps you originally used, it looked horrible, as you said…