I seem to have found a bug though it might conceivably already be fixed in the full version. In the "fuck my man" job, you can leave the house without talking to the man. Since the door is locked you can't get back in and the badge girl doesn't reappear in Town Hall, making the job uncompletable.
Edit: Also the enemies in the slums disappear if you lose to them.
Edit 2: Solved both by checking in the morning instead of evening. Derp.