Hi, this is my first issue that I've posted on here so bear with - I suck at technical stuff!

Minecraft is not working on my Mac OS X 10.6.8 computer. Everything goes smoothly until I click 'play.'
The client window comes up in the Dock, however if I click on it no window comes up. After maybe five seconds it closes itself and the launcher comes back up.
On the development console it says:

[19:50:06 INFO]: Launching in /Users/Hannah/Library/Application Support/minecraft
[19:50:08 INFO]: Client> Exception in thread "main" java.lang.UnsatisfiedLinkError: /Users/Hannah/Library/Application Support/minecraft/versions/1.7.2/1.7.2-natives-1383594606174465000/liblwjgl.jnilib: Library not loaded: @rpath/libjawt.dylib Referenced from: /Users/Hannah/Library/Application Support/minecraft/versions/1.7.2/1.7.2-natives-1383594606174465000/liblwjgl.jnilib Reason: image not found
[19:50:08 INFO]: Client> at java.lang.ClassLoader$NativeLibrary.load(Native Method)
[19:50:08 INFO]: Client> at java.lang.ClassLoader.loadLibrary0(ClassLoader.java:1861)
[19:50:08 INFO]: Client> at java.lang.ClassLoader.loadLibrary(ClassLoader.java:1778)
[19:50:08 INFO]: Client> at java.lang.Runtime.loadLibrary0(Runtime.java:823)
[19:50:08 INFO]: Client> at java.lang.System.loadLibrary(System.java:1045)
[19:50:08 INFO]: Client> at org.lwjgl.Sys$1.run(Sys.java:73)
[19:50:08 INFO]: Client> at java.security.AccessController.doPrivileged(Native Method)
[19:50:08 INFO]: Client> at org.lwjgl.Sys.doLoadLibrary(Sys.java:66)
[19:50:08 INFO]: Client> at org.lwjgl.Sys.loadLibrary(Sys.java:95)
[19:50:08 INFO]: Client> at org.lwjgl.Sys.<clinit>(Sys.java:112)
[19:50:08 INFO]: Client> at azd.J(SourceFile:2064)
[19:50:08 INFO]: Client> at net.minecraft.client.main.Main.main(SourceFile:36)
[19:50:13 ERROR]: Game ended with bad state (exit code 1)
[19:50:13 INFO]: Deleting /Users/Hannah/Library/Application Support/minecraft/versions/1.7.2/1.7.2-natives-1383594606174465000
[19:50:13 INFO]: Ignoring visibility rule and showing launcher due to a game crash

After looking online I have a feeling it is to do with Java, however, because my computer is a 10.6 version, I can't update to the newest version - could this be the problem? Will it mean I just have to accept I cannot play?

Any help would be really appreciated! (Sorry if a similar issue has been posted.)