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That's quite a problem, but it might be relatively easy short-term fix. Your fish are likely suffering from ammonia, nitrite, and/or
nitrate poisoning (the latter is most likely this late in the game)
Start out by doing a 50% water change (don't forget to use dechlorinator).
Do another one tomorrow morning.
These will help clear some of the waste products out of the tank.
Now for the tough part: Your pet store has given you a lot of mixed information. Some of it has been okay (though misguided), and some has been either lacking or bad.
The cloudy water at the end of the month was actually entirely normal. It's a bacterial bloom when the nitrifying bacteria reach the point where they've grown further and faster than necessary, and begin dying off (or something to that extent). They balance their own numbers, and the cloudiness goes away in a few days to a week.
Plecos don't do well in 10g tanks. They produce far too much waste. The pleco is probably the biggest reason the fish are having problems. I'd take it back to the store and ask for a refund.
A few livebearers will probably do okay in a 10g tank, so they should be fine.
Personally, I'd invest in the testing kit. I have very little trust for pet stores, especially when they use the word "normal" when giving the results of a test.
You were given minimal information on the cycle, which is entirely not your fault. After we get you through this, if you're interested, ask about the cycle in the general forum and you'll get a more in-depth description of it and how we use and manipulate it in our aquaria.
Hope everything goes well.