Yes, they must be certified kosher for Passover though.
It would have to be certified kosher for Passover.
The label has to say "Kosher for Passover"
Yes, only if they are specifically certified kosher for passover. You can find kosher for Passover olives at any Jewish supermarket
It can be, it would require a valid Passover hechsher.
Yes, it can be since it is made from wine, which can be Kosher for passover if created under appropriate supervision. The bottle would require a kosher for Passover hechsher.
If you were able to find corn vinegar that is certified kosher for Passover, it would be kitniyot which means that the majority of Ashkenazi Jews would not use it.
There are kosher food companies that are now making gluten-free products Kosher for Passover and all-year-round. However, something being gluten-free has no bearing on whether or not it is Kosher or Kosher for Passover.
Arugula is an edible leaf and is kosher year round including Passover.
Some kosher companies make cereals that are Kosher for Passover.
Lamb can be kosher for Passover. However, Ashkenazi Jews traditionally do not eat lamb during Passover.
Yes, there are no restrictions on fruit for Passover.
Carrageenan is derived from red seaweed and is generally considered kosher. However, during Passover, the kosher status can depend on how it is processed and whether it meets specific Passover standards. To ensure it is acceptable for Passover, it's best to look for products that are specifically labeled as "Kosher for Passover." Always consult a reliable kosher authority for confirmation.