I think the second plant is Acacia Pravissima, but need to see the overall shape from further back to be sure. I drive past one of these small trees growing outside a church near enough every day. Very rare in the UK, because they are quite tender.
Thank you all so much for your help, I’m looking into the names to see if they are the same as my pics. I had a feeling that the Conifer was a fir of some discription - based on an article I had read a while ago- saying that Firs usually had 2 white stripes on the back of their leaves, which these do, but I wasn’t sure what type it was or even sure it was a fir for sure. As for the the second image - I had actually seen it in the lost gardens of heligan, but didn’t manage to find what it was. I do have a picture of the tree - which I have attached. It is very unusual and really like the texture of the plant/tree. It looks prickly- but the leaves are actually quite soft and eucalyptus like in appearance and colour.
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In the sticks near Peterborough
I think Borderline is spot on with A.pravissima ; a strange tree indeed !
Never grown it , but I believe it's moderately hardy to around -5C for short periods .