you say you stocked it with these fish to start? what exactly did you do i mean did you cycle the tank using ammonia before the fish were put in, or did you get the tank, and then get the fish straight away? the way i'm reading it is that you got the tank and then put in the fish straight away if you did you are likely to run into some problems regarding levels of ammonia and nitrite in the water. the way to test for their presence is with a water testing kit (don't get strips tho, get the liquid ones) if you've had the fish 4 days i would predict your ammonia will be too high, especially sinse you have excess food in your tank.
if i were you i would see about returning the fish to the shop and starting the tank again cycling correctly (i'm assuming you haven't fishless cycled but correct me if so). if you want to keep hold of the fish and do a fish in cycle, you need to sort out the water first of all. this seems drastic, but i would do a 90 % water change. it may stress the fish a little, but it's better than ammonia. also have you got a gravel vac? if so use that aswell. i boil up a kettle and mx the boiled water with cold water from the tap to keep stable temperature. don't feed the fish at all for a couple of days - they don't need it and it will only increase the ammonia.
the filter will collect the particles in the water, but the trouble with that is that they are likely to clog it and then it won't be working efficiently so you will have to clean that aswell. really in the cycling process you do not want to be messing with the filter as this is where the bacteria will be growing which you need to process the ammonia in your tank. only clean the filterif it is completely necessary. i dont know much about cories, but can i ask what tetras you have in your tank? if they are, for example, neons, they may not live long as they are ot suitable for new tanks.
be sure to get a testing kit and test the water daily for ammonia, nitrite and nitrate. try not to let ammonia or nitrite get above 0.25