None of the provided passages are drawn from Likkutei Sichos or discuss the Lubavitcher Rebbe's teaching; the closest passage to the idea that Shabbos Bereishit sets the character of the year ahead comes from Ein Aya, Shabbat 9:57, which states that the year receives its form — "seed and harvest, cold and heat" — according to the general impression made by divine light on the first of the months, not from Shabbos Bereishit specifically.
Peri Tzadik, Bereishit 5 does link Shabbos Bereishit to a unique sanctity — the holiness of the parashah of Bereishit — and expresses hope that this Shabbos may bring redemption, but attributes that quality to the parashah's own kedushah, not to any claim that Shabbos Bereishit sets the character of the entire coming year.
Shem MiShmuel, Bereishit 2:10 addresses the Shabbos of Creation as a kind of inauguration (חנוכת הבית) and discusses the balance of strict judgment and mercy in the world's creation and ongoing existence, without making any claim about Shabbos Bereishit determining the year ahead.