Originally Posted by gil80
If I'll flash system.img, then I'll lose some settings.
Is there a way to download the system apps or open the .img file?
if none of the above, can you please see if there's an error in the logcat?
Download a stock rom zip (make sure you get the deodex or odex one that matches your current set up) and open zip. Browse to /system/app/ and pick the apks you need. Move them to your internal storage and use a file explorer with root access to copy to the /system/app folder in your phone. Make sure you change the permissions and reboot. IF that is what caused it, that will get you back to normal. If it doesn't, then just dirty flash. You really won't lose that much stuff.
Also, sometimes just clearing caches and fixing permissions in recovery can help, and if it doesn't, it won't make it worse.
If you need more help, make sure you post quote or hit me up on Hangouts.