I just bought a used 55 gallon tank that came with everything I need and more, plus fish!

I got 3 neons, 2 chinese algae eaters, 1 black molly, and 1 micky mouse platy mix (possibly with a molly, not sure). I don't plan on keeping any of the fish except for the neons, maybe. The molly didn't come in great condition, it looked like its fins had been nipped a bit, and its overall condition didn't look so great. So I was wondering, are neons fin-nippers? Or is it just because they were only in a group of 3 and felt insecure. The fish I plan on putting in there probably include my lyretail/hi-fin sword tail so I'd rather not risk his beautiful fins. Should I get a few more neons or trade them in?