I am new to Microsoft Detours. I have installed it to trace the system calls a process makes. I run the following commands which I got from the web
syelogd.e
Instead of detours (which is free for 32-bit only) or easyhook (which is, khm, a little bit messy code) you may want to check out mhook 2.4 which is very neat code and BSD-licensed. Works on x86 and x64, handles IP-relative code, etc.
There's also a thorough description on how it works at the site.

As for the stack backtrace, you can use CaptureStackBackTrace() from kernel32, or if you want to get fancy, use StackWalk64() from dbghelp.