Well, there are a few things going on with the Reds. The fact that the R-MK printhead is acting funny is a big issue. Another issue is that your cartridge could be funky. Is it out of date? Presumably it is if you've had the printer sitting for a long time. Another thing is that the red cartridge alone is not responsible for the red you see. There are many combinations of inks that combine to create red. When you get the new printhead I would still take the cartridges out and shake the heck out of them. Even with a new printhead, you'll need to do a head cleaning first in my opinion, then print out the diagnostic chart again. I recommend using a magnifying glass and really going over it with a fine tooth comb.
If after doing this stuff, take it for a test spin and print some known images and see how it compares.
Really, anyone serious about using these printers should have a diagnostic chart saved from when the printer was new to be able to compare to.
Presumably you have save the most recent diagnostic charts. After you've replaced the printhead and done a printhead cleaning and printed a new diagnostic chart - just compare them. Look at the solid colors and compare. You should see a marked difference.
If not you have something else going on likely with other printheads or cartridges.
These printers are meant to be left running 24/7/365 so the micro drop technology can work its magic. If you've left it sitting with it being off, then you may have to grunt through some extra printing to get it to come back. I also advocate doing some print exercises now and then, not just leaving it for several months unless you have to. I've left mine for 2-1/2 to 3 months before, unattended, plugged into a UPS, when I was on an extended shoot and when I came back I had to futz with one of the printers, but the others were fine.
I have a feeling you'll be ok and it will come back after a little love and some exercise.
-Mark