This is a tree growing in a friend's backyard, located in the Bay Area, Northern California, USA. (I'm not implying that the tree is native!)
Its flowers have numerous fluffy stamens which are cream in colour, and there are pink flower buds. (The buds look very similar to a eucalyptus).
There seems to be a parasitic infection on some (warped) leaves.
I'm just wondering if the 'pink buds' you describe are actually the fruits, which turn pink/red rather than flower buds. Certainly the only object I can see which is pink appears to be a fruit or seedcase rather than a flowerbud, but it's a little out of focus. If so, this might be Syzygium jambos, common name rose apple or malabar plum, though these names may also be applied to similar plants - images of flowers and fruits and a little foliage here https://en.m.wiktionary.org/wiki/Syzygium_jambos
This appears to be a white bottlebrush tree, a Callistemon or Melaleuca, but which one is hard to say, there are many species and varieties. To confirm this, look over the tree for long ranks of the white flowers arranged along the twigs like a kitchen bottlebrush. The white colour narrows the search quite a bit. The bubbly leaves you see are probably a Psyllid infestation, which can happen on bottlebrush trees; they typically damage foliage leaving lumps and bumps.
The pink fruit looks like syzygium (or acmena). commonly all called lillipilly. From middle east coast of Australia.
