I think you should improve your explanation a bit. First, was your filling solution saturated with Ag+ as well? Did you empty the previous solution before filling the electrode? Can you read your pH standards in millivolts and make a calibration curve outside your instrument?
I emptied the electrode before filling it with a fresh solution which is saturated with kcl 3,5M only, I don't have the commercial one which is saturated with agcl+kcl.
You can prepare your KCl solution and just add one drop of AgNO3 solution and stir the mix. You will have an instant formation of AgCl precipitation. You can wait for the precipitation to settle and collect the supernatant. Or you can filter the solution. In both cases, the solution is then a KCl solution saturated with Ag+. You shouldn't use KCl without Ag+ saturation inside your electrode.
The Calibration Curve: Your instrument must have an option to read the measurements in millivolts. Thus you can write down the numbers for each standard and table them (pH x millivolts). You should plot pH in (x) and millivolts in (y) using - for example - an Excel spreadsheet that can show the plot and also use linear regression to calculate the best equation for your calibration curve and the correspondent correlation coefficient as well as the coefficient of determination.
I prepared a video explaining the whole process, which I make available to my students every semester. Unfortunately, it is in Portuguese. After your doubts, I am thinking that I should make an English version of it and make it available on YouTube.
The Portuguese version is in two videos that can be found at:
https://youtu.be/a6-zv3f_zQc
https://youtu.be/nH4Z6hUyhSw
I will try to produce an English version. However, I can only do it in a couple of weeks or more. These videos in Portuguese cannot be found without their addresses since they are not listed.
Please, let me know the evolution of your calibration.
You should notice that you need only a drop of the AgNO3 solution and the precipitant (AgCl) is highly insoluble. Besides, AgNO3 is normally expensive. Thus, prepare the smallest amount that you can. I think you can prepare a 0.100 mol/L solution or even a more diluted solution. You should also acidify the AgNO3 solution with a few drops of concentrated HNO3 to avoid Ag2O precipitation and avoid exposure to light when you store this AgNO3 solution. You can need it in the future.
I refilled my eletrode with the saturated solution of kcl+Agcl.
In attached files you can find my calibration curve in 2 points (pH 4 and pH7), i watched your videos and followed your explanations. I hope i did it correctly.
It seems your electrode is ok. However, you can improve your calibration using more than two standard buffers. I normally use 5, although the everyday calibration is just the one you did. When you use 5 standards, you are also verifying the reliability of your standards because they must align themselves with a good R2. After verifying their reliability, you can proceed using just two of them to calibrate for your everyday usage.
I have started my video translation. There is already a 10 min video in English. I hope I can have the first draft in a couple of weeks.
If you have a double junction electrode the outer chamber is filled with KCL only as otherwise when using TRIS buffers the silver will precipitate in the juction killing your electrode. If you refill your electrode have a look for the manual for your electrode that should tell you what to use