Tenser’s Transformations and other forms of magical damage

This question concerns a multi-classed Bard (College of Whispers)/Paladin who acquired the spell Tenser’s Transformation (henceforth TT) as a magical secret…

Could such a bard – use 1) the psychic blades feature to add damage to his/her attacks

  • AND/OR use the Paladin’s smite function to empower his/her attacks?

I understand you can’t cast spells while under the effect of TT – but can you either of the above options to enhance damage?