http://bugs.winehq.org/show_bug.cgi?id=28804
--- Comment #10 from Graham Inggs graham@nerve.org.za 2012-05-01 07:00:25 CDT --- @Vinycius Maia: Just to clarify, the current setting of whether the game is in fullscreen or windowed mode is stored (encrypted) in the file 'users/<username>/Angry Birds Seasons/settings.lua'. The setting stored in 'Program Files/Rovio/Angry Birds Seasons/config.lua' seems to control the default setting for a new user, as well as the way in which switching from fullscreen to windowed mode occurs.
So, to try and duplicate the problem, first edit 'Program Files/Rovio/Angry Birds Seasons/config.lua' and make sure that 'fullscreen = true'. Now start the game. If the game starts in windowed mode, set it to fullscreen and then exit the game. The game should now be in the same state in which older versions of the game shipped, i.e. the default fullscreen setting = true and the user fullscreen setting = true.
Start the game, then switch to windowed mode by clicking on the gear and then the rectangle and see if the problem occurs.
O/T: I have seen a problem with the textures similar to what you describe. It turned out to be the game executable and the game data were different versions, possibly caused by an incomplete upgrade. I uninstalled the game through 'Uninstall Wine Software' and then installed from a full download from http://download.angrybirds.com/ . The files in 'users/<username>/Angry Birds Seasons/', settings.lua and highscores.lua, remain untouched, so you don't lose your game progress.