You listed 3 issues and then dropped one of them. Is this correct?

Is the 'diving' still an issue with you?

As far as the trim. Have you read the CS727_manual3? Specifically 'Liftoff and Initial Climb'? Please read and follow the procedure provided and then comment about the trim value that the V-One gauge recommends.

NOTE: (1) should be:
(1) The airplane will attain V2 approximately 35 feet above the runway.
It is NOT possible to attain V2 + 10 at 35 feet!