  We report on finite bias spectroscopy measurements of the two-electron
spectrum in a gate defined bilayer graphene (BLG) quantum dot for varying
magnetic fields. The spin and valley degree of freedom in BLG give rise to
multiplets of 6 orbital symmetric and 10 orbital anti-symmetric states. We find
that orbital symmetric states are lower in energy and separated by $\approx 0.4
- 0.8$ meV from orbital anti-symmetric states. The symmetric multiplet exhibits
an additional energy splitting of its 6 states of $\approx 0.15 - 0.5$ meV due
to lattice scale interactions. The experimental observations are supported by
theoretical calculations, which allow to determine that inter-valley scattering
and 'current-current' interaction constants are of the same magnitude in BLG.
