When you plug your phone into a computer, a folder pops up with some folders and some files. One of the files is a program from Verizon. I do not recall the name at the moment. But if you double click on it, it will install a program on your computer that will help you install firmware through your computer. Try updating with that. Just follow the prompts. And let us know if updates you to the current firmware, or if you're still having problems.

I will not appologize for art.
Galaxy Note 3