Under the Residential Landlord-Tenant Act, the landlord is required to "keep all common areas of the premises in a clean AND SAFE condition." The parking lot is a common area. The Act also provides the procedure to be followed before terminating the lease. But this is a close question, and given the bias in most Justice Courts against tenants, you should have a lawyer if you can afford one.
There is no basis for either one of you to evict the other absent domestic violence. If one of you leaves, he/she will be liable for lease default, just like the person who stays. This will not be worked out legally: the two of you will have to do it.