Yes, both countries allow Dual Citizenship. However, if you live more than ten years outside Ireland, you will lose your Irish citizenship.
Yes, New Zealand allows dual citizenship, meaning individuals can hold citizenship of New Zealand and another country at the same time.
India does not allow dual citizenship.
Yes, Thailand allows dual citizenship.
Yes, Poland allows dual citizenship.
Yes, Venezuela allows dual citizenship.
Dual citizenship has been allowed in Brazil since 1994.
No, it's South Korea that does not allow dual citizenship.
Yes, it does.
I don't know what New Zealand thinks about dual citizenship, but I added a link to the circumstances under which Germany allows dual citizenship.
yes
Yes, Uruguay allows dual citizenship, meaning individuals can hold citizenship in Uruguay and another country simultaneously.
Israel allows dual citizenship for those who immigrate to Israel based on Law of Return (aliyah): you have to be Jewish to qualify to hold dual citizenship in Israel.