They came even as families were burying the soldiers, who were killed on Thursday by roadside bombs set by the Iranian-backed Party of God in the buffer strip.
But President Hrawi has encountered resistance from the most powerful Christian force, the 10,000-strong Lebanese Forces, and the Iranian-backed fundamentalist Party of God.
The groups are affiliated with the Iranian-backed Party of God.
The brigades are believed to have received some of their training in Lebanon from the Iranian-backed Party of God militias before sneaking back into the occupied territories.
After the first attack, Israeli warplanes struck bases near the Syrian border of the Iranian-backed Party of God and two guerrilla deaths were reported.
It was not clear who had done the firing, but suspicion focused on the Iranian-backed Party of God, an Islamic group opposed to Arab peace with the Israelis.
He is believed to be alive and in the hands of the Iranian-backed Party of God terrorist organization in southern Lebanon.
An Nahar, a weekly said the Iranian-backed Party of God has "decided to release two American captives as a good-will gesture."
That confrontation is between the Iranian-backed Party of God and the pro-Syrian Amal.
The Iranian-backed Party of God had made similar threats.