I've managed to get the broken part out of the lock. I went to walmart but they said they can't cut it. I will try home depot and canadian tire tomorrow and then a locksmith.
I'm very bad at remembering numbers (just forgotten my debit card pin after not using it for a while) so I think I will stick with the key.
I don't think we have Colaws or anything like this in Canada.
Tried to open the side doors with a small knife and a screwdriver but without success. Guess my lock picking skills are limited :)
Thank you all for your suggestions