The first pic is looking better. On my test the black was more the issue with it bleeding too much with the profiles I sent you. You could just drop the black ink limit a bit on its own and see what you get.
Ink limits are read in the test prints on my I1 and on a particular media you may need more ink before it maxes out where is on another it may max out and pool with a lot less ink. By using a profile not made for your media you can do what you are doing and start off with at least the right color, then play with the amount of ink. You will also notice if you use a profile for fine 2 and print at super or photo, your print will have a darker look to the colors and look to be real wet and possibly pool the ink. This is because the profile is made for that one print quality and the ink volume is for that one media. You can get away with some profiles working for many medias but just know it is best to use one for that one media.
As for that lever, don't worry about it. It does just move on its own and you should feel it bump against the head in one direction and then free move to the other direction. All the lever does is there is a rounded bump that when the head is unscrewed, the spring forces it over and pushes against that lever. By moving the lever then you can adjust the head but really I tend to get it close and then slightly bump the heads to tweak it. The other lever on the right head for moving it forward or back for me does not seem to engage and there too just do it by hand. Tighten the screw, test print, and do again till it's ok.
Your lines look good for the heads both being straight but the Mg and Lc are off enough to work on some more. That would be moving the right head (I think ) more forward which is that lever on the side. Again mine for that one seems not to engage so I manually pull or push the head slightly and reset the screw and test print. That is an important one so try to do that to get them bang on. You may find fixing that twists the head and then that will be off on the other lines.
If the two heads are off a line (like they look on the Mg and Lc) this will blurr the look in the prints with the ink spray just slightly off when color is mixed from the two different heads.
You are close, just that one head comming forward a tad. You may hardly notice it move for that amount. You may even want to loosen the screw and then slightly snug it and try to move it so it does not jump forward and go way off like it can when the screw is totally loose.