Yes. He went through a dry spell in the early 1970s; this was one of the reasons he decided to do an "oldies album", that became Rock 'n' Roll. (The main reason was a legal settlement, stemming from "Come Together"; he had borrowed a line from Chuck Berry's "You Can't Catch Me", and music publisher Morris Levy filed suit.)
John Lennon wrote the song.
Look at Me - John Lennon song - was created in 1970.
Remember - John Lennon song - was created in 1970.
God - John Lennon song - was created in 1970.
It was John Lennon.
John Lennon, during 1968.
No, but John said he liked the song in a Rolling Stone interview in 1971.
Love - John Lennon song - was created on 1982-11-15.
It is the very first song that a young John Lennon ever wrote, sometime in 1958.
Borrowed Time - John Lennon song - was created on 1984-03-09.
Here We Go Again - John Lennon song - was created in 1986.
"I Lost My Little Girl", which he wrote at fifteen and played soon after to his new bandmate John Lennon. The song wasn't remarkable, but it started Lennon and McCartney on their writing partnership, which was always a friendly rivalry. The song remained unpublished and unperformed until McCartney's 1992 MTV Unplugged concert.