Hi, Czar.
If the system is brand new, then the manufacturer's immediate return policy may still be in effect.  You'll have to check with the purchasing agent at work who made the buy to know whether or not the purchase contract will allow it.  Many OEMs allow a consumer to return a system within 30 days for a full refund, no questions asked.  The rules for getting later remedies from the OEM for pixel problems are usually considerably more stringent.
Three bad pixels is a bit much for my taste.  I've got one intermittent bright pixel on a 1400 x 1050 screen on my Dell notebook.  It didn't show up until after my 30 days had expired.  I would have returned it if I had seen the pixel within the return time.  It's only a minor annoyance, especially since it's not there most of the time, but I didn't pay just shy of $5,000 to put up with minor annoyances.
Hope you can get a satisfactory solution.
Regards,
Jim