Siggersh,
if you look at the left-hand “side” of your grey Mac OS X Install DVD, does it say
13-inch
MacBook Pro
in large type? If it doesn’t, what does it have there? If you look at the lower-left “corner” of that DVD, you’ll see a few lines of small type with this pattern:
Mac OS version Mac_OS_X_version
Disc version disc_version
2Z691-digits-A
What are its values for Mac_OS_X_version, disc_version, and digits? The kernel version in your photo suggests that that disc is for Leopard rather than for Snow Leopard; if that’s the case, then that disc does not go with an Early 2011 MacBook Pro, and those values will help to identify which model Mac it does go with.