Raw honey can lighten a very tiny bit with very regular use, it is a weak source of peroxide: microwaving or commercial processing destroys that potential. I actually use sugar syrup because it's cheaper here in the UK!
You cannot remove residues of silicones or mineral oils from hair or scalp with conditioner only washing because they are not water soluble, you would need to shampoo that mask and cream out. The coating on hair or scalp may be thin, but it will still form a barrier or film, that is what those ingredients are included in formulas to do.
I am in the UK so not the best for specific US recommendations, I know people are commonly using Suave Naturals VO5 or Tresemme Naturals for co-washing, La Looks sports gel or Ecostyler gel for styling. But definitely opt for DIY flaxseed if you are into that, hope it goes well!
Tea tree oil should usually be diluted before using on the scalp, it's powerful potentially irritant stuff.