Bigman ......... thinking from the viewpoint of common sense for the moment, disregarding any legal points:
In your position, I would put that list right straight away. Maybe the doorlock could have been broken by them, but, it's such a minor item, I would be inclined to fix it along with everything else.
Remember, it's your property. It's in your interest to keep it in good repair. Those items listed are not huge jobs now, but if left, will certainly develop into major ones ............ costing a whole lot more.
Any delay and argument over liability is going to mean, possibly, that these things won't be repaired.
Also, a lot of ill feeling will be created. I'm just suggesting that, a few months down the line, the arguments and inevitable deterioration will begin to get out of control.