Yes, only if they are specifically certified kosher for passover. You can find kosher for Passover olives at any Jewish supermarket
Pistachios are not chametz or kitniyot so they are allowed for all groups. They do require a Passover hechsher though because they are processed.
It would have to be certified kosher for Passover.
The label has to say "Kosher for Passover"
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.
Yes, they must be certified kosher for Passover though.
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.