frozen fruit packet
пакет/ёмкость замороженных фруктов - these are sold in thin plastic 'boxes' inside a plasic bag... пакет or ёмкость?
If it's really a box = might be пачка then, something like this https://yandex.ru/images/search?sour...ted-query-serp

the whole container with its contents = also упаковка Одна упаковка - Перевод на английский - примеры русский | Reverso Context
i.e. упаковка can be both a process and at times a container

https://yandex.ru/images/search?text...=213&noreask=1

https://yandex.ru/images/search?text...BE%D0%BA%D0%B0

Moreover, a container that is contained within an another container, can be called порция because this small container is of specific size for reason (63 грамма овсянки, remember?)

I open the lid of the bottle
One can say also 'I open the bottle', right? In Russian, it would sound more natural, then "я открываю бутылку".