I'm on board with TTA's diagnosis.
I had thought the fish were dying immediately upon being added (meaning, within a day or two), but from your last post it may be they are lasting longer. Considering that you have an acidic pH, and as TTA said, probably this means soft water, and that the fish are livebearers, this almost certainly points to the water parameters. Livebearers must have moderately hard or harder water, with a basic pH. "Basic" does not mean "normal" or something, but rather it is what we term a pH above 7, while a pH below 7 is acidic. When livebearers are confined within soft and acidic water, it seriously impacts their physiology and they weaken and usually do not last long. Mollies are especially prone to an early demise, but platy will as well. The tetra should be OK with soft water, but again without the numbers we are guessing. You can ascertain the hardness from your municipal water supply, probably on their website they will have water data. The GH (general hardness) is what we especially need to know, and the KH (carbonate hardness, sometimes termed Alkalinity) is also useful for reasons I won't get into here. The link TTA posted will.
Second comment is that the fish may very well have been carrying something internally. I have had no end of trouble with disease from the fish acquired from chain stores, to the point I will no longer set foot in these stores. Many diseases are not visible externally, until the fish weakens, acts odd or just up and dies. Internal protozoan are many in species, and without dissection by a microbiologist unseen until the fish weakens or dies. I have quarantined new fish for several weeks, say six or seven, and still had issues arise several weeks after that.
How you acclimate the fish to the tank is another issue I'll leave for now. When we know the numbers for GH, KH and pH of your tap water we can move ahead. Please do not start fiddling with the pH, as this is bound to end in failure, as that article should explain. These values are closely inter-connected. If you have soft water, there are lots of fish that will do well. Both gourami and Betta are soft water fish. And keep an eye on the Betta, I have seen these fish easily swallow (or attempt to) neon tetra. Gourami may as well, depending upon the species. I spent an interesting five minutes in a local store once, observing two Blue Gourami cornering a neon and then presto, within a few seconds the neon was eaten.
Byron.