The clip fittings typically need very little force to disconnect, but they might need to be pushed down to help disengage them. Room above the heads is definitely tight, but if you have a spare clip connector attached to a bit of tubing and a syringe, just rotate the fitting to face up and connect to it that way. The fittings can be sourced for around $2 each, either M603012 or M603013 should work fine. If the printer came with any old subtanks, capping stations or whatever else you can scavenge one off of, they're pretty vital.
Valves dripping steady (1 drop every second or more is fine) and the ink system is vacuum assisted, so that helps ink flow even faster on a live line.
Based on the looks of your white inks, it's pretty bad looking, but not fully separated. When you get a fitting & syringe, connect to ports 9 and 10 and gently use suction to siphon up the old ink from the subtanks and dispose of it. Do not fill the subtanks with a syringe or disconnect/tilt them as there is a small fiber filter in them where the vacuum/air pressure system can adjust pressure in the tanks. If ink gets on this filter, it blocks up completely, as designed. This keeps ink out of the air lines and solenoid manifold.
If the bottle solenoids do not flow, they can be disassembled and cleaned with a Philips screwdriver. However, make sure to siphon all the ink out of the bottle tanks you can, it will be messy. The valves, M015864, are typically around $25-35 each and are considered consumable. Might be worth getting new ones.
While in the carriage, look at your air lines and solenoid valves to see if there is ink in them, part number E300918 (around $120-150) if you have to replace. If you see a blue (-) and orange (+) line on the lines, this is normal and denotes which is negative or positive.
Elbows can be disconnected but note that you will want to clip off the flared area of tubing and reinstall them in a fresh unstretched spot.
When flushing lines, do it with the subtanks DISCONNECTED. If you wish to empty a bottle station, connect to the bottom of the solenoid valve with your syringe & fitting (this is a vital tool, if you cannot tell by now). To empty a line, connect above subtank and pull from the line. Note that circulation pumps might block flow when off, so you'll need to work around those in the case of the recirculation system.