OK, looking back at your picture
-- you're using LiPo setting (to get 4.2v), set at 0.2A, charging a Li-ion cell (is that a 14500 in the first picture? what capacity?) It's a 14500, actual (not stated) capacity is about 600 mAh. I did not set it a 0.2A. It's at 0.2A because it's in the CV stage of the cycle and the charge current is gradually declining to 1/10th of the initial charge rate (which in this case was 0.3A (or 300 mA).
-- the number on the screen in the lower right corner you say is "pushed ... so far" -- the manual says it's "charged capacity" but your description makes more sense since it counts up from zero. Is it actually measuring something at the battery?
No, it is only telling you how many mA's the charger has pushed into the battery. However, there is some overhead due to inefficiency and resistance and such so the actual amount of mA that the battery receives is something less than the number shown. But it still gives you a good idea of approximately how much charge the battery has received.
My Accucell-6 just arrived. I'm starting with Li-Ion setting (4.1v), 0.1A (what, me hurry?) -- charging a new AW 18650 (2200 mah) that came at 3.93volts from a US reseller. I had run it down to 3.86v before I started charging.
You should use the LiPo setting (and 1S) to get a voltage of 4.2. You also need to use a much higher charge current for an 18650. You should use at least .6 mA (600 mA) and you can safely go as high as 1C or in the case of your new AW 2.2A. It will take days to charge at .1A and there is no point is using such a low charge rate. .6 is actually plenty low, imo.
After 30 minutes, it's showing 3.89 volts and a "00053" in the capacity corner.