Okay, so I have been pondering over this post for a few days now and I understand where you are coming from.
I don't know if there are any particular guidelines that admins follow, or if getting action taken against you by certain admins will get you banned a lot more easily compared to others. I can only hope that there is some degree of consistency. There is however the ability to appeal decisions and report abusive admins, so they can't just do anything they like and there be no consequences to their actions. Other admins will be able to have a second opinion and overturn the decision to have you banned. I've even had a 3 hour ban overturned an hour later because I said chinhook due to it picking up on the part of the word "chin" as a racist term. I believe this has since been fixed, and the chat mod bot will be improved over time. I do think that peeking into peoples boxes is rude, but shouldn't warrant any serious trouble such as a warning or even a short term ban would be better.
I have also taken some time to read some of the ban postings as well. Although I do find them to be a bit harsh at times, they tend to be understandable. Some people just think that because they have been spending enough playing on the EZ servers that it will afford them for forgiveness or that their behavior is acceptable. Although it helps, it doesn't let you get away with murder. One person got a bit silly with their language when drunk and got banned for it. The tolerance for inappropriate behavior is enough to make the servers R13 certifiable (this game is for those 17 and up however, but there are those that are 13 yo who deal with plenty of wild behavior on other servers). Although I do have a bit of swearing, it is usually minor and contextual, but mostly kept to the minimum. I even replace many words with less serious words, like "F this" with "screw this". You DO have to be mindful of your behavior and how it effects others, otherwise you shouldn't be playing on these servers. If you are feeling angry towards other users because they did something wrong, the answer isn't to abuse them back. You need to look at other reasonable options like reporting it to admins for investigation as well as teaching those users the rules in a friendly way.
As for the whole logs and stealing thing, I am also guilty of this (not from actually stealing though). At the very beginning when I casually visited the server I visited the base of someone who invited me in to look at his wonderful farm of hemp. I mean... who doesn't like to show off their hard work a bit right? But a while later I arrived back on with a warning not to enter peoples bases without permission. I didn't take anything at all, and they offered me something from their person. Clearly someone must have reported me or read the logs without any context, as these days I visit peoples bases all the time and even sneak in if they leave a garage door open or forget to secure the place properly. It is like real life, you should at least be responsible enough to secure your stuff (which is why people put chain link fences around their furnaces). But I'm not going to go into your base and steal your stuff. Just secure your stuff so that you don't have to go through the hassle of reporting it in the first place and tempting innocent people, or new users who will abuse the rules off the bat. As for hidden satchels in the ground, just leave them alone. As for being invited into a friends in-game house, try to treat it like their real house and ask first. But again, Admins, please don't be heavy handed on if people look inside things that aren't theirs.