OK. Listen to what you have just said...
1) You installed it with no problem before when you used NFS.
2) Now you are installing it again and it is not working using NFS.
What does this say to you? It tells me you have done something different when you installed it with NFS this time. Once you figure out what you did differently, you will probably know why it failed when you did the install using ASM...
I can't stress enough, I have done these installations several times and they work for me. The vast majority of the time when people have problems it's because they have missed out steps, or misunderstood something that is written in the article.
Regarding your "./runInstaller" issue, the ownership of this must be different to what it was last time, which suggests you have performed some operations as root that should have been as "oracle". At least, that would be my guess.
You've got to follow what the article says!