To recap: Two powerful coalitions were created towards the end of David's reign. One was trying to appoint Adoniah as David's successor, while the other chose Shlomo. David made a decision to support Shlomo, and in chapter 1 of Melachim, he is crowned as the heir to throne.
(י) וַיִּשְׁכַּב דָּוִד עִם אֲבֹתָיו וַיִּקָּבֵר בְּעִיר דָּוִד. (יא) וְהַיָּמִים אֲשֶׁר מָלַךְ דָּוִד עַל יִשְׂרָאֵל אַרְבָּעִים שָׁנָה בְּחֶבְרוֹן מָלַךְ שֶׁבַע שָׁנִים וּבִירוּשָׁלִַם מָלַךְ שְׁלֹשִׁים וְשָׁלֹשׁ שָׁנִים. (יב) וּשְׁלֹמֹה יָשַׁב עַל כִּסֵּא דָּוִד אָבִיו וַתִּכֹּן מַלְכֻתוֹ מְאֹד.
(יז) וַיֹּאמֶר אִמְרִי נָא לִשְׁלֹמֹה הַמֶּלֶךְ כִּי לֹא יָשִׁיב אֶת פָּנָיִךְ וְיִתֶּן לִי אֶת אֲבִישַׁג הַשּׁוּנַמִּית לְאִשָּׁה.
(כב) וַיַּעַן הַמֶּלֶךְ שְׁלֹמֹה וַיֹּאמֶר לְאִמּוֹ וְלָמָה אַתְּ שֹׁאֶלֶת אֶת אֲבִישַׁג הַשֻּׁנַמִּית לַאֲדֹנִיָּהוּ וְשַׁאֲלִי לוֹ אֶת הַמְּלוּכָה כִּי הוּא אָחִי הַגָּדוֹל מִמֶּנִּי וְלוֹ וּלְאֶבְיָתָר הַכֹּהֵן וּלְיוֹאָב בֶּן צְרוּיָה.
(17) And he said: ‘Speak, I pray thee, unto Solomon the king—for he will not say thee nay—that he give me Abishag the Shunammite to wife.’
(22) And king Solomon answered and said unto his mother: ‘And why dost thou ask Abishag the Shunammite for Adonijah? ask for him the kingdom also; for he is mine elder brother; even for him, and for Abiathar the priest, and for Joab the son of Zeruiah.’
(א) וַיְהִי הַמֶּלֶךְ שְׁלֹמֹה מֶלֶךְ עַל כָּל יִשְׂרָאֵל.
(ד) וּבְנָיָהוּ בֶן יְהוֹיָדָע עַל הַצָּבָא וְצָדוֹק וְאֶבְיָתָר כֹּהֲנִים.
(1) And king Solomon was king over all Israel.
(4) and Benaiah the son of Jehoiada was over the host; and Zadok and Abiathar were priests;
This was the last installment of Unit A in my Melachim series, which over the course of four source sheets talked about the succession crisis at the end of David's rule. Look for a new sheet starting Unit B!