This is why it's better to use the same thread..if I remember correctly you were using a current bios x4981.06 or x4983.06 so specific versions of the Xbox are not a factor in the bios itself.
If the chip works in your friends it is obviously functioning. That leaves your install or potentially your motherboard and unfortunately the symptom is the same but testing the chip gives you a fair amount of info.
So D0 is correct, the chip is flashed and functioning - this leaves:
1) LPC connection - bad soldering possibly
2) LPC damage to the motherboard (this is somewhat rare but gets more likely as you establish that the chip/bios are fine and try multiple install methods and repeat the install).
Occasionally the LPC can take localized damage if a trace is broken, bridged, etc.. What you end up with is a perfectly functioning stock Xbox but one that is unable to load a bios from an LPC modchip regardless of how perfect the install is. This can happen with a bad solder job (or desoldering) and also with a pogo pin modchip being seated as it is scraped accross the motherboard.
I'd try resoldering one more time. At that point you are left with the tast of examing the motherboard and looking for any damage on the LPC or traces surrounding it. Mutlimetering each LPC point to points further back on the trace and testing for continuity is what most people do. Unfortunately it can get ugly at this point for a lot of people since their skill at electronics repair is non-existant (I've been in the same boat before due to sloppy desoldering so you aren't alone...where do you think I learned a lot about diagnostic issues and troubleshooting). Options for a damaged motherboard include trying to repair it yourself, finding an electronics repair shop and explaining exactly what is wrong, or working with a good installer in the installers forum either locally or via mail (you want someone that's experienced not some rookie chip solderer - I know someone if you need a reference).
None of this is terribly good news but that's where you stand right now.