My first impression is that... whoever flashed the firmware onto your phone used the wrong model firmware... possibly the software build for Nokia 2285 which is a CDMA phone. This would explain why the phone is not working properly.
But, then, on second though, the software is very different and I would expect that if the wrong firmware was flashed onto a phone, it would not be able to turn ON or get a signal. Actually, if the firmware versions were drastically different, the phone could be ruined by apply the wrong firmware.
When your phone is on the standy-by screen (no applications open), press * # 0000 #
Then, tell me what your phone says. Then, I can try to trace that to proper firmware versions for the Nokia 3200.
You might need to take the phone back to the seller and ask them to flash it with the proper firmware build.... Nokia 3200.
OK, well, from the information you gave, your phone looks OK. It has the latest firmware version for the 3200.
Maybe the Nokia Connection Manager is not able to recognize the new phone?
If you are having problems with PC Suite, try a new version of PC Suite. There might have been a new release in PC Suite version when this phone was released to keep up with new features and HW changes. You can download it for free by going to "Phones Support" at Nokia.com.
For further problems with your mobile or PC Suite, you should contact your local Nokia Care center. You can find the contact information by going to Nokia.com, selecting your Region, and then selecting "Care Center Locator".