Oil has to be marked kosher for Passover.
Oils that are fine for all groups:
Olive
Nut (macadamia, almond, walnut, etc)
Cotton Seed
Grape Seed
Kitniyot
Canola
Sunflower Seed
Yes, sunflower seed oil can be kosher for Passover, however, it is classified as kitniyot, therefore Ashkenazim do not use it. You would have to check the labeling for a valid Pesach hechsher though.
No.
Margarine, as a manufactured artificial food product, must be marked Kosher for Passover, which is to say, manufactured under supervision of an expert in the rules of kosher food.
The kosher status of margarine during Passover is complicated because of the traditional Ashkenazic prohibition against kitniot, that is, grains like rice, corn and legumes. Excessively strict exclusion of kitniot excludes corn oil and soybean oil, common margarine ingredients. Even though most rabbis agree that these restrictions are not rational, products containing them are not usually marked as acceptable because a surprising number of Jews feel bound to follow these restrictions. In places with large Jewish populations, you can sometimes find things marked "Kosher for Passover, contains kitniot."
No. Wheat is chametz, unless it has been baked into matzah. For Passover, you should be using olive oil.
Yes, grape seed oil is kosher for Passover for all groups including Ashkenazim. You would have to check the labeling for a valid Pesach hechsher 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.
Yes, they must be certified kosher for Passover though.
Yes, there are no restrictions on fruit for Passover.