The zombies in the dream usually reflect the idea of functioning mindlessly. A person tends to function this way when they are "dead tired". Being chased by zombies would thus imply that you feel pressured to take evasive action to avoid having this idea get a hold on you,or catch up with you. [Have you been trying to avoid giving in to the fact that you are really tired and just keep going and going?]
Your apartment building filled with darkness implies living in a state of mind with opinions and beliefs that are without light, i.e. without knowledge and intelligence or any enlightened thinking. Flying away from this situation is fleeing from it. As the flying is happening in an ally, the scene could be suggesting that it might be "right up your ally" , that is, in your area of expertise to flee from this idea of having unenlightened thinking.
All spiritual beings in your dream reflect your idea or concept of them. "Death". also known as the grim reaper, is your concept relating to the idea that death is the "wages of sin"; it is what you earn as a result of sin. If death is chasing you it would reflect the idea that you are trying to avoid having this idea get a hold on you. Chasing you around your car would suggest that a rationale you have & use (the car) is a central issue where you could see yourself trying to avoid the consequences of sin. This seems to follow from your church attendance and spiritual knowledge.
Satan would represent your concept of Satan and can reflect a kind of thinking that is not obedient to God's Laws. Thoughts of this kind are unrightfully gaining entrance into your mind (breaking in) in a very personal situation. (your bedroom). Your attempt to prevent such thoughts from entering the mind are not working. (your door was locked) Thoughts of not being in obedience to God's Laws are doing a job on you (a surgical attack) with the result of causing you to "lose heart", i.e. to feel demoralized or pessimistic about something; to lose hope.