Hi Dany83
Inchworm is absolutely correct. Your reading of NO3 = 5ppm is the one causing you a problem. This is a high reading of NitrIte and the symptons your fish are showing are NitrIte poisoning. You really do need to do a 50% water change immediately you need to get this figure down to under 1ppm maximum or your fish will most probably die.
Remember the first stop for any strange behaviour is to check the water parameters. Water quality and stress are the main causes of fish disease it lowers the fish's immunity to all sorts of things. NitrIte and Ammonia are toxic to fish and during the cycling period you have to watch these carefully because they do rise. After the tank is cycled they will be at a reading of 0, unless you have a problem, overfeed, or overstock your tank the ammonia and NitrIte should then stay at 0ppm.
If you have read the topic that Inchworm suggested you will have a better understanding of why your fish are dying. The details of my tank when I cycled with fish may be helpful to give you a guide of how readings go up and down and what effect water changes have to readings during cycling.
HERE Remember though your tank will have different figures but it does give an idea.
I suggest you read the topics at the top of the beginners section they are all very helpful.
Let us know how you get on, post the readings of the NitrIte after your water change. You may find that at this stage you need to continue doing water changes for a while, to try and save your fish. But if you have had your tank going for one month then hopefully it should be cycled in a few weeks time and things will get easier.
Good Luck, I know it seems a lot to take in at the beginning but it does all make sense in time
