Torah
ויקרא א ,א: וַּיִּקְרָ א אֶּל־מֹשֶּה וַּיְדַּבֵר ה' אֵלָיו מֵאֹהֶּל מוֹעֵד לֵאמֹר
Baal HaTurim: Five times the letter "א" appear in this verse, corresponding to the Five Books of the Torah. Additionally this verse contains nine words; and there are also nine in the first verse of the Ten Commandments, to indicate that whoever studies the Torah is considered as having brought the full range of offerings.”
Possible understanding: The name of the letter אלף has the same spelling as the word for 1000. Thus, Moshe was able to derive ה' אלפים (5,000) lessons from each verse in the Torah. Alternatively, the name אלף is related to the command אלף “Learn” (Shabbos 104a). Whatever the meaning, the common custom is to begin teaching Chumash to small children with this Parsha.
In addition, this verse is the beginning of the Korbanos and has five letter "א" and the first verse of the Ten Commandments also has five times the letter "א".
Yitzchak
ויקרא א ,טו: וְהִּקְרִּ יבוֹ הַּכֹהֵן אֶּל־הַּמִּזְבֵחַּ וּמָלַּק אֶּת־רֹאשוֹ וְהִּקְטִּיר הַּמִּזְבֵחָה וְנִּמְצָה דָמוֹ עַּל קִּיר הַּמִּזְבֵחַּ
Baal HaTurim: “The (blood service) of the burnt-offering of birds are done on the upper part (of the Altar)” – this corresponds to Yitzchak who is described as יונת אלם (“dove of silence” Tehillim 56,1) since Yitzchak was placed on top of the Altar (and did not complain).
Possible understanding: יצחק בן אברהם is the same Gematria (508) as the word חרש (deaf person). This alludes to the fact that Yitzchak acted as a deaf-mute at the Akeidah, not offering any protest, thus being called the bird of silence.
Evil inclination
ויקרא ב ,יא: כָל־הַּמִּנְחָה אֲשֶּר תַּקְרִּ יבוּ לַּה' לֹא תֵעָשֶּה חָמֵץ כִּי כָל־שְאֹר וְכָל־דְבַּש לֹא־תַּקְטִּירוּ מִּמֶּנּוּ אִּשֶּה לַּה':
Baal HaTurim: “It should not be prepared leavened” – because the evil inclination is similar to leaven. And this same reason, the Torah has forbidden honey (to be put on the Altar), for the evil inclination is as sweet to a person as honey.
Possible understanding: Rashi (Berachos 17a) explains that the evil inclination incites and agitates us similar to the way yeast agitates the dough.
The Medrash (VaYikra Rabbbah) interprets the verse “HaShem will remove from you כל חלי (commonly translated as every illness) as a reference to the evil inclination since the word חלי can also mean sweetness. For the evil inclination at first appears to be sweet but that sweetness soon turns out to be sickening.
Model for Atonement
ויקרא ד ,יב: עַּל־שֶּפֶּךְ הַּדֶּשֶּן יִּשָרֵף
Baal HaTurim: “The verse discusses the burning of some parts of the atonement offering of Kohen Gadol. The Torah requires that it be burned outside the Mikdash mount, on the Mount of Olives. This is a public place, not like the Mikdash mount. There is a lesson to be derived from this. The Torah wants the public to know of the Kohen Godol's bringing an atonement offering. The common man would then surely learn that if he has done something wrong, that he should seek atonement.