It is quite difficult to diagnose these issues. Even with good compression (test performed by leak down or compression test), you could still have quite a bit of oil leaking past the rings since you mention smoke coming from your exhaust, but let's save that for last since it's never any fun taking an engine apart. Note -- oil leaking past the rings could have nothing to do with the compression rings, but relates to the oil control ring on the suction stroke. So even if your compression is good, you may still be losing some oil past the piston. There are also instances of the opposite; people having poor compression with no oil loss. Basically, oil consumption and blow by aren't exclusive to one another. What can that mean for you? Well, if the issue isn't a PCV issue causing positive pressure in the crankcase, it can also be blow by creating positive pressure in the crank case. Perform a compression + leak down test to be positive.
First make sure you aren't leaking oil near any of the seals -- the pictures you posted -- I would figure it out. Rear main, camshaft seals, bad valve cover seal leaking on top of trans, front main seal? Based on the figures you gave, you're not losing that much oil, but at least a quart every 3-4 weeks or 1800 miles to my understanding. You mention that this is excessive, but in terms of a severe oil leak, I don't think it is that bad -- also as said by Brandonpham. So let's take it down a notch, and go back to basics.
Your video has caught my attention. The engine shouldn't be chugging that hard and am wondering where and why that noise is being created. I am thinking that this is crankcase pressure related. Don't rule out the PCV as mentioned by others. A clogged / broken PCV system can put pressure in the crankcase forcing the oil through the turbo seals and into the intercooler, which could also account for oil leaking around the valve cover. FYI, a strong enough vacuum can also pull oil into the intercooler. What can be done about this? Get a PCV refresh kit including the updated rear breather hose that connects to the TIP (turbo intake pipe). Start putting all the little details together and you might get a clue to what the major issue is.
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