Hey Denis,
setting a category archive page as a front page of a website is definitely not possible via the default WordPress settings; the only two feasible ways that I can imagine are:
1). create a new template file that would mimic the category page by using a custom “wp_query” loop, and assign a page with this template as a static front page.
2). modify the “index.php” template to include only a certain category, and then set the front page as the “posts page”.
Both cases would require altering the theme’s php files, which is considered as a theme customization and therefore unfortunately is not covered by the ThemeForest support offer. I could propose to make the necessary changes myself for a small fee, yet my schedule is packed at the moment; if you need, I can advise a couple of decent and value-for-money freelance service aggregators.
Sincerely,
Andrew / Satori Studio