Please clarify what you mean by old Adobe Premiere Pro 1.5 video....if that is a video file such as .mov, .mp4 and the file is not corrupt, should be fine, but I would need to know the codec used with those wrapper format.
But, if you are talking about a old Adobe Premiere Pro 1.5 project file, that is another matter. And, I do not see that working in any version of Premiere Elements.
Also can I retrieve old files from Adobe Photoshop Starter Edition 3.2 with the new Photoshop Elements?
That is best asked in the Adobe Photoshop Elements Forum, including the details of the formats involved, like what kind of files?
Looking forward to your further details to help us help you.