For two-thirds, yes. Under our constitution, the two-thirds majority is relevant only in the case of (i) two Houses do not agree on a bill, or (ii) a party wants to propose an amendment to the Constitution. Budgets can be passed by a simple majority in the lower House.  

With a simple majority in the lower House and a simple majority in the upper House (with these allies), DPJ can now push through its legislative agenda. As for (ii), I do not believe (and I am vehemently against) they will try to amend the constitution.

I will become a patissier, God willing.