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Graves and Barwick came through the ranks at Glanford Park, with Sharp joining on a free transfer from Huddersfield two years ago.
Iron boss Brian Laws told Iron-Bru.net:"It’s the worst time for any manager and it’s a job I hate.
"They've done nothing wrong, it's that they've just not been involved this year.
"We've moved on another level and there are players in front of them."
Ian Baraclough, Paul Musselwhite, Paul Hayes, Andy Parton, Michael Rankine and Adam Capp have been offered new deals.
Peter Beagrie has also been offered a one year deal to stay at the club.
Laws added: "His experience, his knowledge and coaching with the kids has been exceptional.
"Add to that the fact that he's done the business on the park and keeps himself fit means he's a valuable player.
"It doesn’t matter that he is 39, he's still a great asset to us."
Contract talks with right-back Nathan Stanton are ongoing, and could hinge on him proving his fitness, while Richard Kell - currently starting the recovery process from a broken leg - will also be offered a deal.