The dark cap makes warbler 2 look more like moustached
The pigeon is probably ( almost certainly ? ) a feral jobbie but ....... some desert taxa of Rock Pigeon are very dark / almost monochromatic.
Apparently not.No mention of this in BWP. Do you have a source?
The Wader is a Grey Plover - no doubt.
Edit: That tern... the rump does look whitish and the bill small, but I'm seeing a peg!