If your landlord knows or reasonably should know of the unsafe conditions of your apartment complex in that it is foreseeable that 3rd parties can harm the tenants or their property, your landlord may be liable for the damages caused by such 3rd parties. It would be in your landlord's best interest to either secure that door or come up with some other safety measure for the tenants. You may want to consult a landlord tenant attorney for further information or assistance and in the meantime speak with your landlord or the management company because these types of incidents can create a large liability. If anything was stolen you should contact the police and your renter's insurance company to file a claim. Best of luck.
Please be sure to mark if you find the answer "helpful" or a "best" answer. (It lets us know how we are doing.) Attorney Kremer is licensed to practice in Massachusetts. Please visit her Avvo profile for contact information. In accordance with Avvo guidelines, the following disclaimer applies to all responses given in this forum: The above is NOT legal advice, and is NOT intended to be legal advice. No Attorney-Client relationship is created through the above answer.
I agree with Attorney Kremer's analysis. If you can show that your landlord's lack of security devices to protect you and your property was unreasonable you have a strong chance of prevailing. I would consult an attorney as soon as possible regarding your claim.
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I agree with my colleagues. Notify your LL in writing immediately of the problems and the lack of security. Advise them that if the repairs are not made, you will seek to terminate your lease. You may want to contact an attorney to assist you.