The name would be Chamaecyparis lawsoniana. Family: Cupressaceae.

The name would be Cupressus spp. Family: Cupressaceae.

kingdom plantae...

family cupressaceae

Yes, though they are often called "berries" the fruit of a juniper is a small cone. It's a member of the family Cupressaceae (as is the Cypress).

Junipers are coniferous as are the Cupressaceae or cypress family to which the White Ceder belongs. Thus the answer is NO but both Junipers and Ceders are conifers, they have a common stock.