Hector,
Concerning the invasion stripes, you could do it either way. The initial application of the stripes saw them completely wrap around all wings and fuselages. This was for easy identification from both the air and the ground.
After a certain time, it was deemed that the upper portions of the stripes could be removed, leaving only the lower parts intact. This was because of the return to "normal air operations", (the days of and after the invasion saw much increased activity in the air) and the continuing need to make allied aircraft easily identifiable from the ground.
Ultimately, they were deemed un-necessary altogether and could be removed entirely, although many units left their aircraft as is until the end of their service lives.
Fade to Black...