Circled Open-Centre Eight-Pointed Star

It is a decorative mark in text.

A dingbat is a printed ornament; this character comes from Unicode's Dingbats block, historically rooted in ITC Zapf Dingbats. It shows an eight-pointed star, an open centre and a surrounding ring. Its meaning comes chiefly from that drawn shape rather than an assigned symbolic role, while fonts can vary its proportions.

Is ❂ the Latvian Auseklītis or the Selbu rose?

No; those are separate ornaments, not names for this character.

In Latvia, an eight-pointed ornament called Auseklītis became a widespread national motif in early 20th-century art, with 20th-century artistic interpretations linking it to ancient ritual; it returned prominently during the 1980s independence movement. In Norwegian knitting, a traditional eight-leaf rose pattern is known as the Selbu rose. While both share an eight-fold geometric symmetry, their histories belong to their own craft traditions rather than to this typographic dingbat.