Chain skip on new chain. Cassette has only 3200 km on it I replaced a worn chain the day after the chain indicator check showed 100% wear. I replaced the 8 speed 52 full link chain with 52 + a half link plus a quick connector. The quick connector is fully seated. 

Chain skip is happening on all gears under load. The bike is a loaded work bike and did not have skip on the old chain. The old chain was last checked at 2200 or 2400 km.

Why am I experiencing chain skip?
I suggest you change your cassette now, before you get accelerated wear on your chain.  At 1% chain stretch, the cassette was as worn as the chain.

Have a very close look at the cassette with your chain in the gear that skips the most.  I suspect that if you add tension by pressing lightly on the pedal by hand, that only one link is making good contact with cassette teeth, and there may even be light visible "under" the chain.  

Of course this is based on rule of thumb.