Yes, by His death and resurrection the price has been paid. All those whom Christ came to redeem stand blameless before God because He took upon Himself to pay for their sins, as ordained by our merciful God from before the foundation of the world.
To add further requirements to Christ's perfect atonement is to belittle the gift itself.
Did Christ pay for your sins, or not?
Did Christ die for the "sin of the world" or not? But yet, you claim that Jesus only died for the elect...
Regards