For more than a decade “Tatyana lived” and” worked “in Connecticut, USA because in the 1990s” there were big problems “with stadiums and sports equipment in Russia.  Время “Past simple”

She is sure that if a “sportsman or a sportswoman stops” training,” it puts “an end to his or her career. Время “Zero conditional” - Present Simple.

That’s why “she did” what “she could to keep” Russian figure skaters in good form for the future of Russian national figure skating.  

In 2006 “Tatyana Tarasova returned” to Russia. Время “Past simple”

Here “she started” a number of interesting “new projects” which have “become” popular with the spectators. Время “Past simple” and “Present Perfect”

Tatyana knows everything about figure skating. “Every little detail is important” to her: what “athletes wear “when they” come “onto the ice, to what music ‘they are skating”, where and how “they prepare” for a competition or a show. “She loves” her students and “believes” them. “It’s a great honour “for every skater to win her smile or her kind words, which are the best “prize they can get”. Время “ Present Simple”

В кавычки поставил главные члены. И указал использованные времена.