What do you mean by "write up" are you referring to a disciplinary process or are you referring to something like an incident report? A lot of times incident reports get a bad rap but really they serve a good purpose. An incident report can instigate an investigation into a process that may be in need of changes. For example, you mentioned "ANY med errors." ANY med error SHOULD be brought to someone's attention-there is no med error that should go unreported. Sometimes med errors are the result of a poor process and not because the nurse that committed the error is incompetent. For example, I have seen situations where meds that look alike are stored next to each other in the med room and the wrong med was given when the nurse was in a hurry-in fact, it happened a few times-an incident report resulted in the simple fix of moving one of the meds to another area and the med errors stopped.
Now, if the "write ups" are petty and obviously one nurse trying to sabatoge another nurse that's another story. I was at work one day and got a call that my pregnant sister was in the ICU at another hospital in the same city in CHF and renal failure, unresponsive and one of her twins had died and they were inducing her for the second twin at 23 1/2 weeks. Luckily, we were a little overstaffed-I was the charge nurse but the manager was available so she acted as charge nurse, I told her that I had a little charting that I needed to finish but I would come back after I knew more about my sister and finish it. I KNOW this was not the best practice but at the moment I was very worried about my sister. I came back three hours later after things were stable and the nurse that took over had already written me up for not completeting my charting-she did it the second I left. Luckily my manager was understanding and disregarded the "write up." If these types of things are happening then it needs to be addressed, otherwise, learn from the observations of others-everything you mentioned is something that needs to be addressed-all charting DOES need to be signed, all med errors DO need to be reported.