Congrats on the new arrivals. Do they have places to hide or are they destined to be on the menu?
You never can tell with guppies. Sometimes just the stress of 'moving house' seems enough to see them off. One of the first signs of an unwell guppy is fin-rot. Are you sure the chunk of tail was taken by another guppy because guppies, as surface feeders, don't really have the correct mouth shape to bite out tails? Is the missing bit very clean, or is there a bit of white around the wound? Is it getting bigger? My guppies occasionally rest on the gravel and occasionally shimmy.
A bad sign seems to be when they swim at 45
o with their mouth at the surface, very noticable gill movement and using the surface plants for support. None of my guppies that showed this behaviour lasted for more than a week. Dragging along the bottom was also a bad sign.
Here's some helpful, yet grim, reading.(
link)
At the moment.... close observation is best. Lots of hiding places are good so any extra plants you fancy might be a good idea, and keep an eye on your water parameters. You might want to move some of your decorations/rocks etc around as this can change a fishes idea of territory and can stop challenging behaviour.
Don't medicate for anything until you're sure what you have. If you need to use anti-fin-rot medicine in the future then I've used Interpet's Anti Fungus and Finrot #8 with good effect. But be warned, it dramatically lowers the oxygen content of the water and I had to rush out and buy an air-pump and bubble stone thingy to stop all my fish gasping and panting at the surface. It also caused an ammonia and nitrite spike 'cos the filter bacteria died off due to lack of oxygen.... and this didn't help the survival rate of my guppies either. The only good thing was all the snails headed to the surface too so I could catch them!
Don't panic - this is what I meant when I said the first month or so is the hardest.