How do recover deleted system apps for my Plaroid MID4X10 tablet ?

So i had to clean my moms infessted tablet from some nasty trojans, wich led me to rooting the device so i can run Stubborn Trojan killer and install Root Explorer to gain access to /system/private-app/ folder where some leftovers were hiding.
Once there i started cheking some boxes and i certainly accidently deleted some critical apps. The outcome is the tablet is stuck at logo screen, and won't go to hard reset menu ( probably deleted the app for it ). Is there a way to recover from this mess ?

You will need to track down firmware for the device and flash it

thank you for your swift answer, the fact that it's not the end of the road for the tablet is reassuring. i'm going to search on google for fimware and how to flash it thank you

Alright after hours of research, i found the firmware for the MID1047 but i can't flash it. I tried two methods :
-The first through the sd card but it failed since it requires the recovery mode wich i can't reach ( the tablets stays stuck on the logo no matter what).
-The second method is through a PC and it doesn't work also since the flash software i used ( android tool 2.3 and Livesuite ) can't detect the device.
Any suggestions ?

On method 2 see if you can locate windows drivers for your device, if not try downloading adb drivers to your pc