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it's important to remember that three of the four Beatles began their solo careers primarily by recording songs they wrote as Beatles. Paul, like John and George, had a fantastic collection of songs that were anywhere from works in progress to complete songs, that were "album worthy" at the time of the break-up. Sometimes it's easier to look at George: Paul never appreciated his work in the 1967-69 (true break-up) era; John simply lost interest in helping George because of two factors -- Yoko in his life, religion in George's.
So when they went into the studio, by 1968, John and Paul were holding George to two songs per album (4 on the double) and so he accumulated songs. The group rejected a number of each of George, Paul, and John's songs for albums, due in part to space, and in part to taste. One can hardly imagine John and Paul participating in the background vocals for "My Sweet Lord," for example.
George put out the first "non-Beatle" album as a Beatle. Then John put out Plastic Ono Band material. But they were still the Beatles, kind of. At best, they wrote individually, and used the others as a back-up studio band. Other songs have one or two Beatles alone. Only Paul and John are on "The Ballad of John and Yoko." And John released "Give Peace A Chance" sans Beatle identity, though before the break-up.
Paul's first solo album, McCartney, was released to compete with the Let It Be album. So, yes, Paul wrote all the songs you listed, but several of them were songs he wrote as a beatle.
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