It seems presumptuous to add my voice to Annastasia's (this woman knows about livebearers!!!), but if you wanted a larger consensus, then I will add my pennyworth.
It is sad, but most lfs have little idea of what happens to fish after the few weeks they spend in the store as juveniles (which is how they are usually sold).
Mollies grow into big fish, and they are also very active; they need to be able to swim around and explore. Swordtails are also quite big and EXTREMELY active- they need oodles of room. Both these species are also sociable, so will feel lost on their own. However, as males are very sexually active, you have to decide whether to keep females only or a group of the kind suggested by Anna (1 male, several females). Two swordtail males may well end up killing each other because of those hormones, a swordtail or molly male will wear out a single female.
I would not consider keeping either mollies or swordtails in less than a 3-foot tank (30 gallons or more). They are magnificent fish if kept under the right conditions. IMO keeping a molly in a 5 gallons is like keeping a St Bernard in the cupboard under the stairs and never letting it out for walks; it may survive, but it is not going to be a happy dog.
One neon tetra and a single hatchet is also a bad idea: they are schooling fish and will feel permanently stressed if on their own. Permanent stress=susceptibility to disease, in fish as well as in humans.
A 5 gallon tank is, as Annastasia suggests, a good tank for a betta (Siamese fighting fish) on its own. Or a small school of really small fish, like endlers or heterandria formosa or some small tetras (like neons or glowlights).
But first it has to be rendered safe for fishy habitation. It is all very well for the shop to say it is acceptable to lose fish in the first few weeks- after all, they get to sell you replacements!- but surely you would be happier if you didn't? Not to mention that the fish would be happier. There are two options as I see it:
*either rehome all the fish now, read up on cycling (pinned topics in beginners forum), do a fishless cycle and then get in a betta. Later on (after a few months) you may be able to add a small group of pygmy corys or some other tiny fish
*rehome the molly and hatchet and keep doing frequent water changes (once a day) until the water remains stable with no ammonia and nitrites for 24 hours after water change; then SLOWLY up number of neons until you reach 5 or 6, which should be the maximum for the tank. Note that this is not an ideal solution as neons can be very sensitive to a new tank.
It is very annoying that you have been misled by the shop, but there is still time to sort things out and get this to a really beautifully working tank.