I believe the scaling on your meter is off. If I were guessing I would say your pen is not capable of two point calibration? If that is the case you are probably only able to do a single point 7.01 cal. This works if you are measuring water or liquids that will fall in around the neutral range but not too well for acids or bases. So it reads correctly in the neutral range but since we have nothing to calibrate it against in the acidic range then it is basically guessing. It would be nice to take a known solution and check it against the meter. Wine, beer or orange juice should fall in around 4.0-4.5. Try and test one of those liquids and see if you meter is reading properly. I would recommend a hannah 98129 in the future when you have the extra money. It is a very nice meter with a longevity and quality which doesn't break the bank.
In order for your soil to be at 2.0 it would need to be very acidic, like the inside of a lemon acidic. I am not saying it isn't low but I don't believe it is that low. There isn't much you can do to raise your soil that much without hurting the plant's roots. Honestly, I can't imagine your soil being that low though, I have never seen anything below low 5's and I use ultra hot soil. One thing that will cause your readings to skew is dry soil. As soil dries, the acidity goes up because buffers only work in an aqueous environment, in other words, you need water for your buffers in the soil to work. You can expect about a point difference in dry soil and moist soil.
If it were me, I would 1) make sure your pH is truly that low. If you are absolutely positive it is well below being able to repair without a lot of chemicals then go to 2.
2) I would transplant. When the soil is moist, gently scoop well around the outside of the plant and deep enough to make sure you go below the roots of the plant. From the looks of that plant, 12" would be deep enough. Take the entire ball of soil and move it to soil that you are sure falls in the safe range and just water the plant through until the roots grow into the new soil.