It is possible to shim a harpsichord soundboard, but the cracks are probably more of a cosmetic problem than an acoustic problem.
I would not be in a hurry to assume the tuning instability was caused by the cracked soundboard.
My first guess would be that the tuning instability and the wide cracks were caused by low humidity.
I would also want to check very carefully for structural instability in the treble cheek and soundboard.
See if the gap is closing and binding the registers.
School music departments often have no idea how to care for a harpsichord.
A college in Louisiana ruined a Sutherland harpsichord because they had no understanding of the effects of close spotlights on a harpsichord tuning.
When I tuned for the Charlotte symphony I tuned 90 minutes before each use of the harpsichord, monitoring for constant pitch drift as the heat was off and on, causing a fine instrument to drift 20 cents overnight.
My harpsichord has two small DampChaser rods and a humidistat inside the instrument, which helps limit the reaction to humidity change.
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Ed Sutton
ed440@me.com(980) 254-7413
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