In this week's parashah there is birkas kohanim, which emphasizes shalom, peace, as the final words state (6:26) שָׁלוֹם ָלְך וְיָשֵׂם, "Hashem will... establish peace for you." Chazal say, "If there isn't peace, there isn't anything."
Immediately following birkas kohanim, the Torah tells us about the nesi'im who brought korbanos for the chanukas hamizbeiach. It states (7:12) נַחְשׁוֹן ק ָרְבָּנוֹ אֶת הָרִאשׁוֹן בַּיּוֹם הַמַּק ְרִיב וַיְהִי אַחַת כֶּסֶף קַעֲרַת וְק ָרְבָּנוֹ ,יְהוּדָה לְמַטֵּה עַמ ִּינָדָב בֶּן, "The one who brought his korban on the first day was Nachshon ben Aminadav of Shevet Yehudah. And his korban was one silver basin..."
The Kli Yakar notes that it doesn't state נשיא by the first korban brought, unlike the other eleven nesi'im, that each day, it states נשיא before their names. Also, it states וְק ָרְבָּנוֹ, with a ו"וא at the beginning of the word, as if others brought korbanos before him, although he was the first one to bring korbanos. This is all to avoid pride and haughtiness. Nachshon ben Aminodov shouldn't feel proud that he brought the korbanos first, because haughtiness leads to dispute. Instead, he should feel וְק ָרְבָּנוֹ, like he is next to bring the korbanos, and not first. Also, it doesn't state the word nasi by his name, so he should feel humble. This is also the reason all the nesi'im with their korbanos are mentioned, although they all brought the same korban. The Torah could have written the korbanos once, and stated that each nasi brought the same korban. The Kli Yakar explains that the Torah sought to honor each nasi, as this sense of the importance of each individual fosters peace, whereas haughtiness leads to dispute.
The concept of peace is also seen in the parashah of Sotah. Among the words written in the Torah when it discusses Sotah is Hashem's name. Nevertheless, the parashah was erased, together with Hashem's name, and the erased ink was placed into water. The sotah drank the water, and if she didn't sin, she wasn't harmed by the water. This proved her innocence, and she was permitted to return to be a wife to her husband. Chazal (Makos 11a) say that Hashem says, "My name... should be erased over the water, to make peace between husband and wife." Hashem prefers to have his name erased, chalilah, as long as there will be peace in the family.
The halachah is that the process of the sotah, with erasing the parashah and drinking the water, is done specifically when there were no witnesses. No one testified that that the woman sinned. So, in truth, she would be permitted to return to her husband even without the water. Why was it necessary to erase Hashem's name, etc., and to have her drink the water? What did this accomplish? She was permitted to her husband without it!
The miforshim explain that although she was permitted to return to her husband, he would have a negative feeling towards her. For years to come, he might suspect that she sinned, and the love between them would have been lessened. To avoid this, the Torah teaches the parashah of sotah. This is to demonstrate the importance of peace.
