"...Air bubbles. Is this because my trace is too thick? I do tap it on the counter...."
I'd say you are pouring your soap a bit too thick, if you're getting large-ish air bubbles in your soap. If the soap is too thick, no amount of pounding will get rid of air bubbles, especially ones near the bottom of the soap. The soap has to be thin and liquid enough so the air bubbles can rise through the batter.
It also looks as if your swirling tool might have dragged some air down into the soap -- see how the bubbles are following the swirl lines? Not sure about that, but it seems possible.
"...I think next time I will try 90 or 100 degree to see if it helps with the veins...."
You can try soaping a little cooler if you want your soap to trace slower. That may give you more time to do your pouring and swirling.
The veins/streaks/mottles are created when soap cools very slowly. "Soap" as we talk about it is not just one thing -- it is a mixture of many different types of soap molecules. If you cool the soap slowly enough, the different types of soap molecules will solidify at different temperatures. The soap that solidifies first is more clear and the soaps that solidify last contain the colorants.
Any soap can show mottles and streaks, but this is more likely when you ... use colorants especially titanium dioxide, gel your soap, or use palm kernel oil in the recipe. I also wonder if mottling and streaking might be more common in soaps that have been swirled in the mold compared with soaps that are just poured into the mold and left alone, but that's just a guess on my part.
"...Maybe mixing at a lower temp results in a lower temp gel phase? ..."
Gel temperature will be what it will be, regardless of how warm or cool your ingredients are when you start. Gel is a phase change in the soap that occurs when the soap reaches a high enough temperature. The concept is exactly the same as with boiling water ... you can start with ice or you can start with water out of the tap, but in either case, the water will boil only when it reaches 212 deg F.