the lawsuits are simply measures to protect themselves against the other suits and probably an attempt to force Lebanon to side with Israel in
disarming Hezbollah or, in the case of Lebanon's suit against Israel, force a ceasfire.
Lebanese minister of justice states that Israel's attacks constitute war crimes, crimes against humanity, and wonders how pictures of Qana did not bring about ceasefire
Lebanon is planning to file a lawsuit against Israel in the International Criminal Court. Tuesday, Lebanese Minister of Justice Charles Rizk made a written petition to the Lebanese Prime Minister, Fouad Siniora, asking him to bring up the issue in the next meeting of the Lebanese cabinet, so that the prime minister will be able to collect witnesses in preparation before filing of the complaint.
"In preparation for the pursuit of the Israeli enemy in the relevant international courts, and in a bid to punish these crimes and to bring them to justice, the Lebanese government must prepare a comprehensive case that will include and detail all the attacks and crimes committed.
I find it quite disheartning that both sides seem more interested in suing each over monitary loses rather than finding common ground to help formulate a cease fire.
Here is the link for Israel's potential lawsuit against Lebanon.