Earlier quoted context omitted.
Well, as you bundle Lua 5.1 (as Lunacy), instead of making a library and loading it, and you bundled the 2012 version, you're probably affected by CVE-2014-5461 and others. Lua hasn't been security fix free.
Unless the service accepts Lua code from the internet (and that would be a completely insane thing), the CVE-2014-5461 will not apply. And while I have not reviewed every Lua CVE, I bet most (all?) of then require a specifically crafted code, or at least highly-complex user input (such as arbitrary json) It's important to look at the actual vulnerability at the context, and not just list any CVE which matches by vers…
Unfortunately, that's not enough. Even if the vulnerable parts of the code are not being built, heck even if they have been completely erased from the source code, the auditors will still insist that you're vulnerable and must immediately upgrade, or else they will give your software a failing grade.