Get rid of Judd Winick which is happening.
Get Kyle Rayner off his space journey and reinstated as Green Lantern of Sector 2814. Make John Stewart recruiter of the new Green Lanterns. John Stewart could recruit many of the old Green Lanterns: Boodika, Larvox, and others along with some newbies.
Have the Guardians age and give them the wisdom of Ganthet.
Have the aged Guardians no longer letting Kyle do whatever he feels he wants, thus creating an edgy relationship between the Guardians and Kyle. Establish some ground rules which Kyle doesn't handle well.
Involve Guy Gardner more in the book as a supporting character.
Later, maybe another GREEN LANTERN CORPS QUARTERLY book.
"Leaping Lanny and Randy Savage are brothers, and Randy Savage, your name is Randy Poffo. THAT'S RIGHT, RANDY POFFO. You're ashamed of going around calling yourself Poffo so you probably got the name Savage because you're ashamed of putting yourself on the same level as your brother because he is much better than you are. YOUR BROTHER IS A HUMAN BEING. YOU'RE NOTHING BUT A SCUMBAG. THAT'S WHAT YOU ARE; YOU'RE A DOG. YOUR NAME IS POFFO." - Ronnie Garvin to Randy Savage, ICW Wrestling, 1980.