Is this possible? I have no idea what to search?

Can i plug my phone into my pc, and then take calls from phone on my pc, and use my headset. Its only because i have lots and lots of minutes, but awful internet. So skype kills the web. But its a pain holding my iphone to chat, and loud speaker means the person can hear themselfs. I was wondering if there was software which would allow me to take calls from my phone on my pc using a headset (usb).

I think you might want to research using your cell plan to have your own mobile "Wi-Fi hot spot"
I think at least one company offers that

You could use headphones with a mic so you can talk through the mic and hear through the headphones

I would recommend that you go to xda developers and search your phone model and then resolve this problem there as it is way more practical there.