The first thing you should do is select Preferences > Settings - User from the menu, and add the following to your settings:
// Disable checking for a more recent version; only works in
// registered versions of sublime text
"update_check": false
That will stop the “nagging” that you’re running an out of date version and should probably update. With that out of the way, you have some options:
Probably the easiest is to downgrade back to the release you were using; If you still have the installer for the previous version you can install that, or go to the Sublime download page and copy the URL for the platform that you use, and edit it to change the build number to the previous released version.
Various “bugs” in some syntax highlighting popped up after the last release due to work being done behind the scenes to enhance all of the syntax highlighting. As such, the problem that you’re having might already have been fixed. So in theory you could download the latest development version and see if the problem is fixed there already.
Since installing newer versions is somewhat of a problem, you can also get the latest version of the JavaScript syntax from the GitHub repository and see if that fixes your problem; just drop it into Packages/JavaScript. That will override the version that ships with Sublime with what the latest development version is (probably) using without having to install.
Note however that if you take that last option, your override will persist forever, even if you ever upgrade sublime to a newer version.
Probably the simplest thing is to just downgrade back, though.