There should be a encoder test in the menu or service menu that would tell you if the strip is not reading right.
For what you have there, this would not be an encoder thing. Most times a dirty encoder strip will cause random lines to be printed in your print. These won't show in a test print like you did above, but more on a regular file being printed.
If you are carefull you can take a new cleaning swab with cleaning fluid on it and gently press up against the bottome of the head. Do not rub the head as this will cause possible damage or further block the head. Only press up in order to force some cleaning fluid into the head. Do a regular cleaning after that from the menu and see if it changed some of the deflected lines in the test print. Your black is not too bad from the look of it. If you do not feel comfortable using a swab under the head you could try to remove the damper on the black head and with a syringe and a connecting tube, inject a bit of cleaning fluid into the head. Again do not force much pressure with the syringe as you can damage the head that way as well. With a bit of cleaning fluid in the head do a couple of cleanings and see what the test print shows.
Also in time a head will just wear out. I have had some older DX2 heads show a perfect test print but when doing a solid block of color show some banding even with all allignments and feed callibrations done.