I'm pretty sure the problem is a combination of your scope and the fact that you're using a shore anchor for your bow. Auger anchors are not an ideal fit for bow anchors, you should be using a plow style or digging style anchor (fluke/danforth, manson/rocna/delta, box, etc). Where it has to be flush with the ground, you will likely have to use a Danforth anchor (since a box anchor won't submerge and plow anchors usually stick out of the sand at least a little with their shank). The Fortress FX7 of FX11 (overkill) is probably your best anchor. Put 12' of 3/8" chain on that and set it using the power of your boat (not your back+trying to scuba).
When set, danforth anchors are under the surface of the lake bottom, and they have a LOT of surface area to combat either horizontal or vertical tugs from the line. An auger anchor only has the 2" radius around the shaft and even though you might have 6 rotations of the auger into the bottom, the second you tug straight up on that with enough force (or at an angle with enough force) it's going to pop free - which is exactly what you have going on here. What is misleading is the depth that your auger goes, but the reality is that once the ground is disturbed by the first upward tug on that anchor, the next upward tug is going to pop it out as the lake bottom won't have had time to settle. With a fluke style anchor, when you pull up on them they have more than (7" x 12")/2 surface area per fluke, and 2 flukes per anchor which is 84 sq inches of resistance compared to your 3.14*(2^2) =12.56 sq inches per rotation (though as mentioned before, each rotation has diminishing returns on its effectiveness because there is not a lot of depth between the rotation blades of the auger anchor...
Finally, with an auger anchor, if it pops free - it will not re-set itself. All of these other anchors will.