seems to me you screwed up bad... hopefully you did not run it too long.. if what you drained looked like this then you drained the transmission :
Now, removing the oil filter will not pour much oil since all of it is in the oil pan lower...looking like this :
much more oval than rectangular....
to fix all this, you will need to buy a good 5 liters of tansmission oil (dextron III) , then you will drain you engine oil, cause I assume you poured more engine oil in there without removing it.... did you checked your oil dipstick after you were done ?? the stick must have been pretty overfilled no ??? so fix your engine oil level, and put back trans oil from the trans dipsticl (passenger side of the engine bay)... this is why you trans was slipping.....no oil in it....!