I have a similar problem charging a Tab Pro 8.4. I changed the battery as described in this tutorial. Before I was “playing around” with charging the old battery and found that it is charging only when give a slight pressure on a tiny plate next to the battery’s contacts. (The look inside is a bit different than in step4 picture) It looks like a small plastic cover and can be carefully lifted up to 3 mm. When lifted you see two rows of small open contacts. Depending on the pressure on the contacts it seems to work differently - (1)nothing is charging, (2) it charges with about 30…80 mA or (3) full current approx. 1.4 A.
Does anybody know how to get this working all the time in its right order? I’m asking because of the tab was not really charging already before opening it. (The charging icon looks strange then.) Maybe the back cover is not pressing these contacts together properly, what is my assumption so far. I fear that it will not getting better when closing the cover again.