Wow, lots of questions, @ebeth!
Methylfolate is what most stimulates the BH4 cycle, so you should be on the right track. I find that higher doses of methylfolate (2-3 mg) depletes my tryptophan, so I supplement that (1500 mg). The tryptophan and methionine are just part of a regular old serum amino acid profile lab test. Both of them are essential amino acids - meaning they have to come from your diet - but tryptophan gets used up, methionine gets recycled.
There are some cofactors that you need for the biopterin cycle, too. Maybe someone else can help with that, since it's escaping me at the moment. B6? Magnesium? I don't know.
I've never taken a biopterin test, but since I have MTHFR A1298C +/- AND a history of depression (melancholy as a child, two episodes of depression as an adult, one requiring medication), it's a pretty good bet that my biopterin cycle/ serotonin production is at times compromised. Now that I'm histamine intolerant, my diet is restricted so my normal sources of dietary methylfolate to stimulate biopterin cycle (among other dietary things) are much less available to me.
Now from the biopterin cycle to the methyl cycle:
According to what I read, about half of your methionone should be fresh from your diet, half recycled from homocysteine. Both of us are impaired recyclers due to our SNPs (MTRR and BHMT 08), but our supplements will help that. TMG is one such supplement, B12 is the other...so...
Yes, I would definitely take some B12 when you are taking that much methylfolate. Especially since you have the MTRR A66G +/+. MethylB12 if you tolerate it, HydroxyB12 if you don't, but the MTRR means converting hydroxy will be slow, so methylB12 is much preferred. Adenosyl is good for something else, so not that. Your Thorne multi will have some methylB12 in it, but methylB12 is deactivated by stomach acid, so if like most multis, you take it with food, the effect is minimal. Be sure to use sublingual MB12.
Best of luck with what you try!