Thanks for that info and choosing the Apple Support Communities. If I understand correctly, you are unable to sync your iPhone with iTunes on your new computer to sync pictures from your computer to your iPhone.
When you plug in your iPhone, is it being recognized correctly in iTunes? If not, follow the steps below:
If iTunes doesn't recognize your iPhone, iPad, or iPod - Apple Support
Do you receive any error messages when you attempt to sync? Please make sure you're using the steps below to sync your iPhone via USB:
Sync your iPhone, iPad, or iPod touch with iTunes on your computer using USB - Apple Support
Since you've moved to a new PC, I recommend following the steps below to move your iTunes library to a new computer:
How to move your iTunes library to a new computer - Apple Support
Cheers!