Cooking vocab?

Hi

How would I say/write these cooking items in Japanese. Please could you give Kanji or write as it would be usually written. Thanks!

sunflower oil
cumin seeds
fresh red chilli
spring onion
garlic (clove)
fresh coriander
spinach puree (easy to find in Japan??)
Fresh spinach
beetroot (fresh or tinned)

I am not a cooking person... To my knowledge:

sunflower oil　ﾋﾏﾜﾘ油
cumin seeds ｸﾐﾝの実
fresh red chilli　新鮮なﾚｯﾄﾞﾁﾘ
spring onion　ｽﾌﾟﾘﾝｸﾞｵﾆｵﾝ
garlic (clove)　ｶﾞｰﾘｯｸ　
fresh coriander　（生）ｺﾘｱﾝﾀﾞｰ
spinach puree ほうれん草のﾋﾟｭｰﾚ
(easy to find in Japan??　I don't know, but rarely heard)
Fresh spinach 新鮮なほうれん草
beetroot ﾋﾞｰﾄの根
(fresh 新鮮な or tinned 缶づめ)

sunflower oil (not particularly common)
サンフラワーオイル or ひまわり油

cumin seeds (some store only carry ground cumin)
クミン

fresh red chilli (Japanese chilis are usually sold dried but can be found fresh, other chili are difficult to find, especially fresh)
トウガラシ

spring onion
ねぎ　(but that may not be what you're looking for depending on what you call a spring onion)

garlic (clove)
ニンニク

fresh coriander (can be difficult to find)
パクチー

spinach puree (easy to find in Japan??)
Never seen puree, maybe you can make your own.

Fresh spinach
Fresh spinach is easy to find in winter, however it may be different from what you are used to.
ほうれんそう or 菠薐草

beetroot (fresh or tinned)
ビーツ sometimes 赤ビーツ

fresh coriander (can be difficult to find)
Somtimes sold under the name of 香菜（シャンツァイ）, depending on the shops/supermarkets.

cumin seeds クミン　シード
"Cumin powder/ground cumin" would be written クミン　パウダー

spring onion - which kind you want? Can you post a link to a photo or something? There are a few different types that are readily available in Japan.

spinach puree - I don't think this is readily available in Japan, maybe except for baby food. If you are thinking of spinach curry, that's something we make using food blender/processor at home.