10 Gal
 
There should be enough bacteria in a mature tank to convert all of the nitrite to nitrate. A reading of 0.5 isn’t critically high, but is enough to make one wonder why it’s there. The mind can wonder in many directions wondering possible causes, but without an accurate ammonia test, the best we could do I speculate (which doesn’t help anyone).
 
Nitrates are accumulating, so that does tell us that there is a base colony of bacteria doing it’s job. So all in all I wouldn’t worry about it. 40 ppm of nitrates is a respectable personal max, so I would suggest doing a water change to bring the nitrates down. This will also help keep those nitrites as low as possible.
 
 
55 Gal
 
The presence of nitrates and absence of nitrite suggest that the tank is cycled and functioning in a healthy manner. Without an accurate ammonia reading we won’t know that is completely true, but well just go with what you’re giving us ;-)
 
 
10 Gal Turtle Tank
 
Again, presence of nitrate and absence of nitrite give a good first impression, but leaves us curious about the ammonia.
 
Nitrates are pretty high here. No need to freak out about 80 ppm, but I would do a water change or two and try to keep them under 40 ppm. I’m no pro with turtles, but I do know they are still somewhat nitrate sensitive.
 
I am very curious about the turtle though. I don’t know of any that will be happy in a 10 gal tank for very long at all. It’s very common for people to buy these cute little baby turtles… not thinking that in a year or so they will have a dinner plate with arms and legs…
 
Jar
 
Crayfish produce waste which forms into ammonia (just like fish)… Since we have no nitrite or nitrate, I would suspect that all of the waste is still in the form of ammonia which is horrible for the poor little guy.
 
Since you plan to get rid of him soon, I suggest putting fresh water in the jar every day. Be sure to add a touch of dechlorinator though as I would imagine the chlorine would still agitate him. Some dechlorinators such as Prime or Amquel claim to “detoxify” ammonia/nitrite/nitrate for 24 hours, which I’m sure this guy will appreciate.
 
 
I also noticed your Alkalinity, Hardness and PH seem consistent, which is a good sign…
 
The Alkalinity, also known as KH or Carbonate Hardness, in the 55 gal is a bit higher. This is nothing to worry about, but I’m curious why. Do you know? Coral substrate, coral rock, bones or anything else that is calcium based is a common reason your Alkalinity will be a bit higher. Also the use of any aquarium ‘buffers’ raises Alkalinity.
 
The PH in the jar is a bit lower, which I would imagine is due to waste build up. Waste is acid rich PH is a measurement of acids… Doing daily water changes on this Jar will (naturally) make the PH match your tap water, which I’m assuming is also 8.4...
 
But instead of assuming… What does your tap water read? If you want to be absolutely sure, fill a container and let it sit for 12~24 hours. If possible, put an airstone in it, if not possible stir the container when you can. Then test it after 12~24 hours. This will allow gases to fume out of the water which can alter the PH readings a bit…
 
All in all… things could be a bit better, but your in pretty darn good shape!