Doing FT and SHBG is mostly a duplication of effort. Skip SHBG.
Thyroid: TSH, fT3, fT4 do not test T3, T4
Thyroid antibody testing is part of diagnostics when thyroid problems are detected by the above.
Your own oral body temperatures are a better measure of things than labs in some cases as the lab ranges are useless.
Your iodine intake is something that YOU need to be aware of.
LH/FSH is not needed while on TRT as these will be zero. Exception is that then an elevated FSH is a marker for testicular cancer.
The other panels are cheap and you cannot cherry pick whats in them.
You missed hematocrit that is TYPICALLY part of CBC.
Over 45 requires PSA and DRE [digital rectal exam]
If T levels are low, DHT will be low and testing DHT has no value. When on TRT after 6 months, one can test DHT and rarely it will be too high. If normal, no real need to be testing DHT routinely.
Prolactin is tested when young men have low LH/FSH when age related LH/FSH decline is not expected. Older men do not need to have prolactin screened for secondary hypogonadism. I have suggested prolactin for guys in their mid-thirties. Prolactin is typically elevated by a prolactin secreting pituitary adinoma. With primary hypogonadism and elevated LH/FSH, there is no reason to test prolactin. Save prolactin as a followup for low LH/FSH in younger males. If there are multiple indications of multiple pituitary problems, prolactin might be orders as part of a battery of pituitary hormones: TSH, IGF-1 [for GH levels], ATCH, LH/FSH, hCG, prolactin ...