As shown in the following eBay links, there are no copyright notices on the first-edition dust jacket.

eBay:

• image 1 (front cover)
• image 2 (back cover)
• image 3 (spine)
• image 4 (front flap)
• image 5 (front cover without dust jacket)
• image 6 (front flap)
• image 7 (back flap)
• image 8 (back cover without dust jacket)
• image 9 (autograph)
• image 10 (copyright page)
• image 11 (copyright page)

Using the search term "Different Seasons" and looking at the year of publication 1982, we see that there is only one possibly relevant copyright registration, namely TX0000980013. However, that registration is only for the literary work and not the dust jacket. Thus there are no copyright registrations for the dust jacket.

Thus the entire dust jacket is in the public domain in the US.

This work is in the public domain because it was published in the United States between 1978 and February 1989, inclusive, without a copyright notice, and its copyright was not subsequently registered with the U.S. Copyright Office within 5 years. For further explanation, see Commons:Hirtle chart as well as a detailed definition of "publication" for public art after 1977. Unless its author has been dead for several years, it is copyrighted in the countries or areas that do not apply the rule of the shorter term for US works, such as Canada (70 pma), Mainland China (50 pma, not Hong Kong or Macau), Germany (70 pma), Mexico (100 pma), Switzerland (70 pma), and other countries with individual treaties. See this page for further explanation. Deutsch ∙ English ∙ español ∙ français ∙ italiano ∙ 日本語 ∙ 한국어 ∙ македонски ∙ português ∙ português do Brasil ∙ русский ∙ sicilianu ∙ slovenščina ∙ 中文（简体） ∙ 中文（繁體） ∙ +/−