Man oh man you are asking a really loaded question. There is no way that I could go intot he depths of this aswer fully here. It would just take way to much time.
But I will Do my best with what I can.( alot of this will be a parapharse from the NIV Bible Commentary)--I will hit on the "key" spots.
You are right in what you think about verses 3-4 they are refering to Alexander the Great.
Vs. 5-6 "The king of the South" was to be Ptolemy I (Soter), son of Lagus, whose ambitions extended far beyond the borders of Egypt (his charge from Alexander) to Palestine and the rest of Asia.
After Ptolemy I's death in 285, his son Ptolemy II (Philadelphus) continued the contest with the Seleucids till 252, when a treaty of peace was finally arranged with Antiochus II (Theos), under the terms of which Antiochus was to marry Berenice, the daughter of Philadelphus.
7-12 Ptolemy Philadelphus died in 247 B.C., soon after the tragedy that had overtaken his daughter Berenice. But his capable son Ptolemy III (Euergetes) organized a great expeditionary force against Syria to avenge his sister's death. This war raged from 246 to 241, and Ptolemy captured and pillaged the Seleucid capital of Antioch and invaded its eastern domains as far as Bactria. Finally he returned to Egypt laden with spoil, but he did not see fit to add much of the Seleucid territory on a permanent basis. He did, however, shatter the Seleucid navy in the Aegean Sea and succeeded on other fronts as well, for he reunited Cyrenaica (at the western end of Libya), after twelve years of independence with the Ptolemaic domains. He also recovered all his father's conquests on the coasts of Asia Minor and temporarily gained control of portions of Thrace.
13-19 Antiochus advanced once more against Phoenicia and Palestine with his battle-seasoned veterans and pushed all the way down to the fortress of Gaza, which fell in 201. Verse 14 continues: "In those times many will rise against the king of the South [i.e., Ptolemy V]. The violent men among your own people [i.e., the pro-Seleucid Jews] will rebel in fulfillment of the vision [i.e., this prophecy now being revealed], but without success." This refers to the counteroffensive launched by the powerful General Scopas of the Egyptian forces, who punished all the leaders in Jerusalem and Judah who favored the claims of Antiochus and were disaffected with the Ptolemaic government. But soon the war swept down from the north, and Scopas met with a severe loss at Panium (near Caesarea Philippi) in 200 B.C. From there he retreated to Sidon on the Phoenician coast, the "fortified city" of v.15.
Is it belived that verses 21-24 are refering to Antiochus IV Epiphanes.
Verses 25-26 refer to the earlier invasion of Egypt in 170, by Antiochus IV Epiphanes.
29-30 The more exact chronology of Antiochus's later act of desecration is set forth in these verses. The "outcome" (v.29) was different this time because he was compelled by Popilius Laenas to withdraw from Egypt altogether. From the preceding discussion, it is evident that the followers of Menelaus, who made no protest as Antiochus removed the holy vessels from the Holy Place, are referred to here as "those who forsake the holy covenant." Menelaus and his followers were willing to suppress all religious scruples rather than cross the will of the tyrant who had put them in power.
31 In addition to the desecration already described, the abolition of the daily sacrifices to the Lord was made binding by the erection in the temple of the Lord of "the abomination [GK H9199] that causes desolation." Apparently this was a statue of Jupiter or Zeus Olympius because (2 Maccabees 6:2) (this is not Scripture by the way) indicates that the temple itself was to be renamed the Temple of Zeus Olympius
All of ch. 11 to this point (through verse 35) contains strikingly accurate predictions of the whole sweep of events from the reign of Cyrus (during which Daniel brought his career to a close) to the unsuccessful effort of Antiochus Epiphanes to stamp out the Jewish faith.
