iPhone 2G battery replacement

Mon problème

The old battery died completely.

Ma solution

Replacing the battery was easy thanks to iFixit but the problem was the home button is also not working anymore. Since it's a jailbroken phone I installed Activator and used a double click on the sleep button to simulate a home button action. Then I went to erase all data and settings from the phone and now it is stuck on the boot logo. iTunes cannot detect the phone, and I cannot get it into DFU mode because the home button doesn't work. I have the phone stripped at the moment. I need some suggestions to get the home button working or replacing the home button. The phone is unusable at present.

Mon conseil

I need advise.