I am interested in fixing the sink below, which has at least two problems:
(1) the hot water handle leaks when the tap is turned on, from somewhere in the circled region,
(2) no water flows when the cold water tap is turned on - somewhere the supply is completely blocked.
The supply lines underneath the sink are made of a clear plastic material. I noticed that the cold water supply line is severely discolored, and wonder if this is related to problem (2). See the second image, right supply line. These lines originate at saddle valves in an adjacent room, and there are no other valves in between.
In an effort to investigate, I took out the screws from both of the handles, but was unsure of how to remove the handles from there. There is not enough room (because of the sink and the drain stopper control) to turn the handles 360 degrees, so perhaps they lift off?
Following the solution to airlock problem described here, I tried running the hot water while sealing the faucet with my thumb. This only caused the hot water handle to leak more vigorously.
How can I go about fixing this sink? My highest priority is to get the cold tap working.