Updated my jailbroken iPhones 4s to 6.1.3, stuck in Recov. loop.

My iPhone 4s was jailbroken, I think at 5.something or 6.0. I wish I remembered. I tried to update it to 6.1.3 via my phone in the settings menu. It restarted and told me to connect to iTunes.

I connected to iTunes to restore and got a 3194 error. I tried tinyumbrella but I cant kick my phone out of recovery mode. I went into DFU mode and used tinyumbrellas "fix recovery" options with no luck, iTunes returned a 21 error. I went back into DFU mode and tried to restore my phone through iTunes again, but now that I'm in DFU mode, I'm getting a 1600 error.

I updated iTunes to 11.0.2 (latest) and tried to restore again. Instead of immediately throwing an error, it's now downloading the iPhone software update and has 75 minutes remaining.

Not sure if this will make a single difference when it actually tries to install it, but in the meantime does anyone have ideas?

If I cant fix it, which is cheaper: Buying a logic board with 16GB and replacing myself, or buying a new 4S?