Polychaete, Not to be funny, but to help you, It seems to me you not using the correct specimen terminal tackle, but rather a mixture of conventional and specimen tackle.
The two styles are totally different in approach, I would suggest, either one or the other.
I know this thread is for critically balanced baits, but feel I need to deviate a bit sothat you get a better idea of hair rigs.
Seeing as this is the Specimen division on Sealine, Im only gonna discuss specimen rigs here.
If you want to catch with a hair rig, you should make it correctly, the hair is the same line used to make your hooklink, no joins, its one piece.(can be mono or coated braid, even plain braid for a supple hooklink)
Check this link out, it explains how to tie a basic hair rig and hooklink,this should be your first approach, and then altering it slightly to suit your situation. Hooklink, usually 200mm from knotless knot to swivel where you connect to the lead.
http://www.anglersnet.co.uk/Rig-Section/Carp-Rigs/tie_hair_rig_knotless_knot.html
Take note, the direction of the threading of the hooklink material, it must come out of the hook eye on the hook point side, creating an angle toward the hook point, (inward offset) you can also, pull this angle more by using shrink tubing, by threading it onto the hook eye and over the knotless knot and steaming the shrink tube while tensioning the hooklink.
When you feed your bait onto the hair, you want a gap of 5-10mm, if you hold the hooklink by the swivel and let the hook hang, the gap Im refering to is from the bait to the bottom of the hook bend.
Also, circle hooks are not a good choice, rather use a wide gape hook or a long shank hook.
When it comes to leaders, use about 600mm to 1m leadcore, splice both ends and fit a swivel to the bottom end, connect youre hooklink to this swivel, then slide an inline lead on the leader sothat it snaps onto the swivel. finally, tie your mainline to the leader spliced loop on the other end and you ready to go.
Baits, dont put anything on the hook, first put a gummy stop on the hair, then just thread baits onto the hair as shown in the (above link) using a needle, then floating device, (artificial maize, cork, or foam, or popup boillie)then put a bait stop in the hair loop and pull everything tight towards the bait stop by pushing the gummy stop up, this way your bait is trapped between the gummy stop and the bait stop.
Using the palm test I posted earlier, you should get a hookup on your palm everytime.
Now you can go to the dam knowing the rig is upto scratch and if fish take it, you should get a decent hookup.
Hope this helps you understand how a hair rig is tied and used.