(Revision to this post) Seems I was getting incorrect damage data from a mod and I’ve retested the archery 5th perk and it does work as advertised. Melee damage bonus perks may also be just fine, but as posted in other replies, there are other perk issues that need addressing. I deleted some of my incorrect info from this OP.
I posted a couple weeks ago about the final vitality perk not working. There is no healing burst at the end as is described. Just now, I tested the Accuracy 5th perk. 50% more damage on a head shot. NOPE!
I did just test the agility perk of the double jump and it actually does work.