The fish in the first post look like swordtails or swordtail x platy. The swordtails are longer in the body and in particular the caudal peduncle region (between the belly and tail).
The fish in your later post (#8) are different colour forms of platies.
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With common livebearers like swordtails, platies, guppies and mollies, you can either keep them in single sex groups (all males or all females), or have 1 male and 6 or preferably 10 or more females.
As a general rule I prefer single sex groups and if you want to breed them, add a male to the tank for a few weeks then get rid of him. The females can carry sperm packets for months and you will get babies for the next 6+ months and the females won't get harassed by males.