Are you sure the systems battery is good? Also what does the MagSafe charger telling you Amber or Green. Do you have the needed tools to open your system and game to fix your own system?
If you truly need a new logic board, I don’t know of anyone in Canada ;-{ Here’s the info you’ll need to find a replacement logic board:
* 2.26 GHz Apple P/N 661-5230
* 2.26 GHz Apple P/N 661-5231
Sadly, your systems logic board are hard to find, I looked at the sites I use and I don’t find any that have either board. So you are limited the the Jobbers which hang out on the Amazon & eBay market places hoping you can find one. Make sure you use a pre-paid credit card and if you can get one that offers product protection.