Hi sky1 and Welcome to TFF!
If you've already got the individual liquid tests for ammonia and nitrite then you could just gradually purchase more individual test kits: the pH kit rather soon, followed by the nitrate(NO3) kit a few weeks from now, at which point you'd have re-created the master kit. (Note that you'd perhaps have to have some idea whether your local tap water likely fell into the low or high range (if your LFS is very local to you they may know and you could study the two pH kits to see the ranges, although I think the crossover point is about at pH=7.6 or so.)
It's also possible a cheap dechlor product might contribute to your initial cloudiness although is much more likely this is just the way the water looks the first few days or it is some gravel dust. In one of my fishless cycles I ended up deciding that one of the other dechlor products didn't seem to work well for me and the members here recommended Seachem Prime as being higher quality, not to mention being the best value ultimately because of how concentrated it is. I'll never go back to anything else probably.
Kudos for studying up and choosing a fishless cycle! No matter what goes wrong, your fish are not exposed to it! The important part is simply the doing of it and being patient. Here in the freshwater beginners section we see so many cycling logs that we enjoy tweeking things, but overall these things will complete more or less regardless. One tweek I'm partial to is a 29C/84F temp which I arrived at after some back and forth with Tim Hovanc's info but I see Dorsey and Tom are advocating 31C up above (so I disagree with them
but Tim was focused on the nitrite oxidizers with that and I suppose it's possible a slightly higher kick for the A-Bacs initially might not hurt.. it's just another of the many places we have so little info other than a general feeling from watching lots and lots of cases over the years.)
It won't hurt having airstones working (because it adds some bottom to top circulation) and you do want to tweek the surface movement provided by your filter output if possible as that will be an even larger contributor to slightly higher oxygenation of the water. The bacteria want the right ammonia concentration, plenty of oxygen, the right temp, the right pH and some trace calcium and magnesium provided by the tap water. The filter water you got (and even an additional tiny pinch of fishfood) will help a tiny bit possibly, can't hurt, although the overall fact that you are ammonia dosing will be the main thing.
~~waterdrop~~