iPhone 4 will not restore or update

Hello,

I just pulled out my old iPhone 4 which I haven't used for probably a year and a half. My iPhone 5c died on me randomly and I have set up an appointment to get it fixed but until then I need to access some apps that I can download onto my 4.

Surprisingly, the battery is still capable of being charged and the phone eventually awoke from its slumber. I then tried to connect to my wi-fi, but none of the wi-fi access points showed up in the list, and the top left of my screen continued to say "searching...". I tried restarting the phone, which proved to be a heck of a lot of trouble because it would show the apple logo on the screen for sooooo long every time. I eventually went to bed and tried to sleep but of course got back up about 10 minutes later and the phone was finally back up. Same wi-fi problem. So I thought I'd try updating.

This is as far as I got before it told me "This phone could not be updated." and then asked me if I wanted to try updating again or to restore and update, I tried updating again, just in case. That didn't work. So I tried restoring twice (and updating because apparently that's required to restore) and it said "This phone could not be restored." I think it gave me an error number (16) and iirc the update error was (17).

Can someone please help?

During my minutes of lying awake anxiously hoping that it would work I realized that I should probably keep my 4 charged and ready just in case my 5c ever dies again, because my Apple Care runs out in June and I probably won't be able to afford a 6 until the 7 is out. Maybe even the 8.

If I'm able to solve this and the wi-fi still doesn't work I'm probably gonna put it in the fridge (My Iphone 4 32gb black can't find any wifi network) because obviously my phone has been reset about a dozen times now and my wi-fi is working with everything else so it's likely not the modem.