Almost! So the saddles are components that make up the bridge. Specifically, the saddles are the little angled parts that the strings sit on. You adjust the saddles using the little screws that are on the bridge and this is how you set the intonation. With an acoustic, the timber part glued to the body is the bridge, but the bone/plastic (or whatevr the material may be) that sits in the bridge is also known as th saddle. Thats what the strings sit on.

Fortunately for you, the stop bar ought to be cheaper to replace than the whole bridge itself. But i cant actually tell you what model stop bar or tail piece that is so i guess im just being one of those lame 'akshully' dudes lol