He mentioned British Columbia so the search was not hard.

BC Regulation Digest

Snowshoe Hare seems to be the only rabbit listed to hunt and is open Aug 1- Apr 30, so closed only during May,June, and July.

BC does require a license and hunter safety course.

Here is the link to the Regulations Digest with Trapping in it, the previous link has basic hunting regulations.

Trapping Regulations

Trapping starts on Pg 43 but on the very last page they talk about snares but for the OP'er I would recommend reading this.