Pesach Obligations
רַבָּן גַּמְלִיאֵל הָיָה אוֹמֵר: כָּל שֶׁלֹּא אָמַר שְׁלֹשָׁה דְּבָרִים אֵלּוּ בַּפֶּסַח, לֹא יָצָא יְדֵי חוֹבָתוֹ, וְאֵלּוּ הֵן: פֶּסַח, מַצָּה, וּמָרוֹר.

רַבָּן גַּמְלִיאֵל Rabban Gamliel would say:
Anyone who does not say these three things on Pesaḥ has not fulfilled his obligation, and these are they:PESAḤ, MATZA, AND BITTER HERBS.

Torah Obligations

וְאָכְל֥וּ אֶת־הַבָּשָׂ֖ר בַּלַּ֣יְלָה הַזֶּ֑ה צְלִי־אֵ֣שׁ וּמַצּ֔וֹת עַל־מְרֹרִ֖ים יֹאכְלֻֽהוּ׃
They shall eat the flesh that same night; they shall eat it roasted over the fire, with unleavened bread and with bitter herbs.
(יט) שִׁבְעַ֣ת יָמִ֔ים שְׂאֹ֕ר לֹ֥א יִמָּצֵ֖א בְּבָתֵּיכֶ֑ם כִּ֣י ׀ כָּל־אֹכֵ֣ל מַחְמֶ֗צֶת וְנִכְרְתָ֞ה הַנֶּ֤פֶשׁ הַהִוא֙ מֵעֲדַ֣ת יִשְׂרָאֵ֔ל בַּגֵּ֖ר וּבְאֶזְרַ֥ח הָאָֽרֶץ׃ (כ) כָּל־מַחְמֶ֖צֶת לֹ֣א תֹאכֵ֑לוּ בְּכֹל֙ מוֹשְׁבֹ֣תֵיכֶ֔ם תֹּאכְל֖וּ מַצּֽוֹת׃ (פ)
(19) No leaven shall be found in your houses for seven days. For whoever eats what is leavened, that person shall be cut off from the community of Israel, whether he is a stranger or a citizen of the country. (20) You shall eat nothing leavened; in all your settlements you shall eat unleavened bread.

"Anyone" - really anyone?

... וְכָל מִצְוַת עֲשֵׂה שֶׁהִיא מִזְּמַן לִזְמַן וְאֵינָהּ תְּדִירָה נָשִׁים פְּטוּרוֹת חוּץ מִקִּדּוּשׁ הַיּוֹם וַאֲכִילַת מַצָּה בְּלֵילֵי הַפֶּסַח וַאֲכִילַת הַפֶּסַח וּשְׁחִיטָתוֹ וְהַקְהֵל וְשִׂמְחָה שֶׁהַנָּשִׁים חַיָּבוֹת:

All positive commandments that are from time to time and not constant, women are exempt, except for kiddush and eating matza on Pesach night and eating the korban Pesach and sacrificing it and hak’hel and joy [on festivals], in which women are obligated.

(י) הַכּל חַיָּבִין בַּאֲכִילַת מַצָּה אֲפִלּוּ נָשִׁים...

(10) All are required to eat matzah on the first night of Passover; this includes women...

לית ליה לר"ש - ...וכשם שנשים באכילת מצה חובה - הכי נמי במרור:

Just as with eating matza women are obligated – so too with maror.

(יד) גם הנשים חייבות בארבע כוסות ובכל מצות הנוהגות באותו לילה:

(14) Women are also obligated in the four cups and in all the mitzvot performed on that night.

(מה) (מה) מצות הנוהגות וכו' - כגון מצה ומרור ואמירת הגדה:

The mitzvot that are practiced – such as matza and maror and reciting the haggada

תנו רבנן: הכל חייבין בארבעה כוסות הללו, אחד אנשים ואחד נשים...

Our rabbis taught: Everyone is obligated in these four cups, both men and women…

(א) ואחד אנשים ואחד נשים חייבים בהם שם (קח.) נשים חייבות בד' כוסות שאף הם היו באותו הנס ומטעם זה צריך לומר שהן חייבות בכל מצות הנוהגות באותה הלילה

Both men and women are obligated in them [the four cups]. Women are obligated in the four cups because of inclusion in the miracle, and for this reason one must say that women are obligated in all the mitzvot practiced on that [seder] night.

Exemptions?

It was stated: Matza requires reclining, maror does not require reclining. Wine…both [the first and second pair of cups] require reclining…A woman in the presence of her husband does not need to recline, and if she is an important woman, she needs to recline. A son in the presence of his father needs to recline. It was asked of them: What about a disciple in the presence of his master?

This indicates that a woman is exempt from Hallel on Sukkot and Shavuot, because it is a [positive] time-bound mitzva. Yet regarding Hallel on Pesach nights, Pesachim 108a indicates that women are obligated in the four cups [of wine], and presumably the four cups were established specifically so we could say Hallel and the Hagadda over them. Hallel on Pesach is different because it is on the miracle, and they too [women] were part of that miracle …