AST/AST can be markedly increased by sore muscles from resistance training.
If prostate had some degree of BPH while having low T levels, introducing TRT will make a T deprived prostate bigger and healthier and some PSA increase then expected. You can try lower E2 near E2=22pg/ml and see if you feel OK on that. Prostate is sensitive to estrogens and estrogens may be a significant risk factor. I have been on TRT for 11+ years and my PSA keeps getting lower. There are prostate protective herbal products.
Orgasms increase PSA release and can skew labs a bit. Never do PSA labs soon after a DRE!
Orgasms clear seminal vessels and lack of orgasms can lead to racid semen and the inflammation can lead to prostate inflammation etc. https://en.wikipedia.org/wiki/Seminal_vesicle