Drawers have to be properly sized in relationship to the drawer opening in order to use metal ball bearing slides and the dimensions are critical to the 1/32". You can't just mount them to any drawer unless it's been specifically built for them.
Looking at both the wood slide and drawer boxes in your picture, a couple things could be happening. It would have helped if you showed the bottom of a drawer. It looks as though the back of the lower drawer may be rubbing on the slide above it. The sides of the drawers may be too high and binding on the faceframe. The drawers may also be rubbing on the right side of the cabinet. Can't tell much with just that picture.
Pull the drawers out and inspect them all over. Look for places where they may be rubbing and show wear. Look at the track the slide fits in, is it askew or worn? Feel the slide and track to see if there are rough spots, same in the cabinet and around the faceframe. Places that may be rubbing, drawer fronts that stick in the opening and the slide can all be slightly reduced in size to gain clearance. A low angle block plane or belt sander can be used. Hand sanding alone will take a lot of time to get very far but is a possibility if that's all you have for tools and knowledge of how to use them.
There is a product called "Slipit" that is used on drawers, sort of a wax. A block of paraffin, old candle, bees wax can also be rubbed on the places where the drawer may be rubbing but it won't cure a drawer part that is too tight. Look over the drawers and find the tight spots, fix those, then use some wax. It will be far easier than trying to replace the existing slides or trying to fit metal slides.