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I didn't find anything new (so far):

Lunar Love Numbers And The Deep Lunar Interior
J. G. Williams, D. H. Boggs, J. T. Ratcliff and J. O. Dickey
http://www.lpi.usra.edu/meetings/lpsc2002/pdf/2033.pdf

To bring the model values of the Love number k 2 up to the two observationally determined values of about 0.026 it is necessary to either decrease the middle mantle speeds from those models and Nakamura's analysis, or to make the attenuation zone a low velocity layer, or to increase core radius above presently accepted sizes. The uncertainty of the observationally determined values is still about 10% which is uncomfortably large compared to the differences from models, but there are two independent and concordant determinations and all model values are less. There is need for improved uncertainty in the determinations and the lunar interior models may need to become more complex.

Influence Of A Fluid Lunar Core On The Moon’s Orientation
J. G. Williams, D. H. Boggs, J. T. Ratcliff, C. F. Yoder and J. O. Dickey
http://www.lpi.usra.edu/meetings/lpsc2001/pdf/2028.pdf

A molten lunar core will affect the Moon's rotation through two torques. A fluid core, rotating independently from the solid mantle, has a velocity difference at the core-mantle interface. The velocity difference causes a force, dissipates energy, and leads to a net torque over the whole surface. If the core-mantle boundary is oblate, there will be a second force due to flow along a nonspherical boundary. This torque depends on the orientation of the core spin vector with respect to the mantle pole. The two torques have different directions and their influences on the rotation are distinguishable in principle.