For last season and this season I can't access previous season rewards through the bungie website. Additionally, I can't see my own progress through the website for the current season as well. I've used different web browsers for a work around, but this doesn't help.
All that I see when I view the current and past season page is "Loading Destiny data...". When it is finished, it flashes a yellow button that says "Link a Destiny Account to View Progress" for a split second. This happens for both current and past complete season.
If the policy for season reward collection through the bungie website has change, and I missed it, disregard this post.
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Can you attempt to claim those rewards from the Destiny Companion App on your phone? It might yield better results.