Will Apple give you a new iPhone if the home button stops working & no warranty?

Alright so I have the iPhone 4. Lately the home button has been slow and voice control would open up randomly and it would kinda just go crazy. So today I picked up my phone after like two hours of not using it and the home button didn't work, at all. I restarted it, and it still didn't work. I turned it off and on once again, this time enabling assisstive touch. I kept looking up possible solutions, but I only tried about one and it didn't work. So I asked a friend about the problem and they said I should update the software, since I haven't updated to iOS 6.3 or something. I don't really update the softwares. So I went to update the software and was told to connect it to iTunes. Well the computer that my iTunes is on is unavailable (hard drive issues, not turning on or anything) so I tried to connect it to a different computer. I logged into my iTunes, and tried to connect the phone. It was recognized by the computer, but not by iTunes. I have no idea why. So now I can't unlock or access my phone in any way, because every time I try to turn on my phone, it comes up with the message telling me to connect to iTunes. Could I just have some advice on what to do? I have no idea. It seems like no one else has this problem on forums or anything.

No, but you can get a new button.

Nope.
they might fix for $149