In accordance with standard procedure, Samus discarded all of the items she collected on previous adventures before embarking on this one.
Super Metroid has a wide variety of time-saving glitches to exploit, many of which are explained on the Super Metroid Tricks page. Be sure to check it, as well as the author's comments, for more information on the improvements. This is an improvement of 6:28.70 over the predecessor movie.
If you prefer to watch the fastest completion without getting all the items and without any large skip glitches, check out this run of Super Metroid in 35:58 by Sniq.
Every second encode link leads to a version where all graphics have been fixed.