Couple of good finds there! You'll find that the Tawny Owl tastes a bit like Golden Eagle and the Woodpecker's very much like Avocet!
It's a pretty confusing area of law and there are a couple of sites that might explain where you stand.
The protection of Birds Act 1954
http://www.opsi.gov.uk/acts/acts1954...9540030_en.pdf
...and Naturenet -
Naturenet: Wild Birds and the Law
"All birds, their nests and eggs are protected by law and it is thus an offence, with certain exceptions (see below) intentionally to:
•Have in one's possession or control any wild bird (dead or alive) or any part of a wild bird which has been taken in contravention of the Act or the Protection of Birds Act 1954
The clue is whether the bird has been taken in contravention of the 1954 Act - on the basis that you've found them already dead I believe you may be ok.
However, if you're found with 6 of every wild bird of the UK in your freezer the law may take a different stance.