The majority of the original effects could potentially been rendered in at least HD res, however this was for a 2002 release and so possibly some scenes could have been rendered at a higher resolution than others. Toy Story 1 was originally rendered at 1536 x 922, but in 2009 it was re-rendered at a higher resolution for re-release (at least 2K), including being rendered in 3D.

The Star Wars effects are obviously much more detailed than the "plastic" Toy Story effects, but I imagine it's a similar process that's probably even more streamlined, to re-render the film at a higher output resolution. While I can only speculate, I would think that the film transfer was done at a higher res than the DLP one, however some of the shots at least were probably not at the full resolution used by the majority of the 35mm version. I guess the only way to tell for certain is to get a release print and examine it!