Yes, you are seeing a parasitic infestation going on. Not to worry though. You are in good hands. I HATE parasites and love nothing more than to cause them a horribly painful death......
Ok, we will need to diagnose what you are seeing to know exactly how to go about treating them. Is it possible for you to aquire a microscope to perform a few slime scrapes? You can even do this with the cheapest versions of scopes. I got mine from walmart. It sits up front with the telescopes, guitars and other curio just past the registers on your way out. It comes in a box with a telescope and sells for less than 30 dollars. This is the scope that I use myself (until I can locate a good one locally). Anyway, once a scope is found, all you'll need is a popsicle stick, a slide and a coverslip (several of each is best). The rest is easy to do and I will be happy to walk you through it.
If you cannot aquire a scope, you can only go about this systematically to deduct what possible parasites you may have:
1--- This is started by bringing the salt solution in the tank up to 0.3% over the course of 3 days. Once there, you need to kep the solution at that % for 2-4 weeks (no less). If you see improvement during the salting, you can be pretty sure that you either had costia, chilodonella, trichodina or oodinium. If no improvement is noted, see step 2. After 3 weeks (my preference) remove all of the salt and let them be for a month. If by that time you do not see ANY finflicking, bottom, glass or ornament scratching. coughing movements of the mouth and gills, clamped fins and like symptoms, you should be pretty well in the clear.
2--- If you DO begin to see a repeat, you can be certain that you eiother have flukes or a salt resistant strain of costia. At that point, Praziquantel should be administered as per the instructions on the treatment pag under flukes. If improvement is noted during the prazi treatment, you can be certain that it was indeed flukes and you should continue treatment until completed.
3--- If no improvement is noted under the prazi treatment, you kight very well have the dreaded SRC (salt resistant costia) and you will need a much more intense treatment to rid your fish of them.
I really must tell you that I am a HUGE fan of salt dips. They will easily purge 90% of parasites that you might have on your fish at that given point in time. I suggest 1.5 - 3% dips for the duration laid out in the flukes treatment thread in the treatment section.
Aren't you glad you utilized quarentining with your newbies? If you hadn't, well, let's just say you would have a tankful of unhappy fish.....
Post back soon and we can get the ball rolling for you.
Paul