The bird on the picture has to be a young kestrel, you see the young birds first generation of feathers, the down, being overtaken by the new feathers. Animals have young when there is prey available, in your situation this will be in winter spring when there is rain, growth and loads of mice of course.

When a kestrel is concentrating on a prey it hovers like a helicopter, it is magic, the head is during this movement stabilized like for example the barrel of a tank.

We do name this flying "praying" , the animal does not have a problem with a nesting location in city's and could have bred the young near your house.