After inserting a brand new color cartridge, the yellow ink is still not printing. All ink levels show high, I've used the clean print head function from computer and clean print head function from printer directly. What else can I try?

check if plastic cover on ink cartridge . may need a lot of cleaning of print heads may need to get cleaning alcohol and a cloth and clean print head physically

good day...If you done for cleaning the printer head, the the nozzle check have some missing squares in between, either black or all color, will theirs a problem on the print head...the solution is need to replace the printer head

You may have blocked print head nozzles.
Try the printer maintenance to clear the printer nozzles.
After several deep cleaning attempts and there is no improvements in the print then a new print head is required.
A new print head maybe expensive and it maybe more cost effective to purchase a new printer.

Possibility cartridge print head dry.

Solution 1:
Do a clean process cartridge automatically. Press START - Control Panel - Printers and Faxes - HP Deskjet d2360 right click and select Printing Preferences - Select the Color tab - select Printer Services - select Clean cartridge, wait for the cleaning process is completed - Perform Test print. If the print test results, has good graphics, press Finish. If the graph is not clear or drop out, repeat the cleaning process once again.

Solution 2:
1. Open the cover printer, cartridges will move to the middle position.
2. Remove the cartridge (be careful, do not touch the element cartridges or print head by hand), then stick the tip cartridge (print head) to clean water
3. Then, attach the print head to a tissue paper. If there is a tissue paper used in ink (black cartridges, black block lines, and color cartridges, three color red yellow blue lines), means the flow of ink to the print head is normal. If the tissue paper no trace of ink, attach back into the water, repeat the above process.
4. After process is complete no.3, clean the cartridges with a tissue paper (careful, do not touch the element cartridges or print head by hand, because it will damage the cartridge). After cartridge clear of the water, insert the cartridges into printer.

Simple problem that print head cleaning will typically not fix. The black ink is pigment based so it tends to form more stubborn clogs. Just remove the print head and if you have a steamer hit the black printhead nozzles with some pressured steam. If not available, soak the surface of the printhead in shallow hot water (try not to get the contact wet or be sure to dry them if you do). You can tell if the printhead nozzles are open by folding a section of wet paper towel like 5-10 layers and then soak it, press the printhead surface up and down lightly on the wet paper towel and if the nozzles are open you will see some ink pulse in the black port screen (the colors will also pulse from the pressure of the liquid under the printhead). It's easier than it sounds so give it a try. I've saved 100s of Canon printheads this way.

Note: if you have a really dried out head, you sometimes have to soak from the top inlet ports and the bottom nozzle surface to clear, but unlikely in you case since you had a black cartridge installed with ink in it (this keeps the top port from drying).

The Ink at the head of your Printer Cartridges has dried up.
Try this:

Load some plain paper in the printer

Remove the cartridges from the printer and carefully dab the print heads of the cartridges with a damp paper towel. ( when you start to see ink, the ink is starting to flow).

Replace the cartridges into the printer.

Go to:

Start
Control Panel
Printers
RIGHT click on this printer
choose Printing preferences
services
clean print cartridges 9some papers may print)
follow the instructions and do the heavier cleaning as well

Run the calibration function and allow the paper to print.

Remove the magenta cartridge, and try cleaning the head with alcohol, maybe with a small paint brush or an acid brush. It sounds like ink has dried and plugged up that head.

Are they new cartridges?

If so, have you removed the clear plastic protection strips from the cartridge heads?

Probably bad, there's actually no way to check ink levels.

Your print head is likely toast.

The only way to be sure is to test out your purge unit (aka capping assembly).

This assembly provides the suction when you use the cleaning function. One test is simply to install a new oem ink cartridge, do a bunch of cleanings and see that it is actually emptying the ink out of the cartridge (look in the cartridge and see that the ink is being used up).

Since you said you have tried several cartridges, I would hope this means you know 100% for sure that the ink level in the cartridge is going down (you cannot rely on the level indicator in your driver software).

Since your purge unit is working, then your print head is either so clogged that the purge unit isn't strong enough to clean it, or the print head is defective.

Remove the print head and inspect the bottom. Give the bottom surface (and no more) a rinse under very hot running water. Blot the bottom surface on paper towel and see if there is any yellow ink coming off in the paper towel. If you can find a tube that will fit over the yellow ink well in the print head (the part that contacts the ink cartridge) try and force water through the tube and see if a fine mist comes out the bottom of the print head. If yes, then the head is not clogged. If no, leave the print head to soak for several hours. A saucer with a small amount of water in it will do. Just let the bottom surface of the print head contact the water (the cap off of a can of spray paint usually works for this)

Let the print surface soak for a few hours, or even over night. Reinstall the print head and give it a deep clean. If it still does not work, call your local Canon repair shop and check the price of a replacement head.