First of all I'm just going to point out that being new to the hobby you probably picked quite a challenge for yourself.
Small tanks are extremely difficult to keep stable and should only be done by experts IMO. I would not recommend anything smaller than 40 gallons for beginners. 5 gallon is simply way too small for any fish like a blenny.
Secondly you need a better test kit. Take that API kit to use it as a door stop, that's about what that kit is good for.
Instead of API use Salifert, Red Sea, NyOS, or if you want to spend a bit more get Hanna checkers.
How much of a water change did you do? 20% 50% 100?? Did you know you can kick your tank into a whole new cycle by doing a large water change in that size tank?
Thirdly why buying saltwater from your LFS? Why aren't you mixing your own SW? ON that same thought, what are you topping up the tank with? RO/DI water or tap water?
Last and not least, was your water clear or cloudy when you found the blenny dead? If cloudy then it's mostly the blenny died from suffocation due to lack of O2 from a bacterial bloom.
Got pics of your tank? A pic can tell a hundred things.