Is OTHER wrong in the post ? POST : Using a throwaway as several of my co-workers also use Reddit and know my account.

To give some background on this story, I work for a government organisation in the UK part time around university. I have been working here for several years now and intend to leave when I graduate and get a job which should be within the next few months. Although the money I am paid is nice, now that I'm coming to the end of education it's not essential for my expenses. 

My coworker, who this post is about is a full time agency staff member. This coworker, who I will call F, is normally quite nice and someone I get along with. F is also my manager when we work together as F is more experienced and is a full time worker. F is a middle aged adult, with 2 adult children and a grandchild who she helps supports financially. 

Due to several managers leaving within the last year, our department decided to bring in agency staff to manage the workload whilst recruiting full time staff. F applied for one of these mangerial positions but didn't get it due to not being experienced enough. As a result, F has been spending the last few months going over and above F's duties, to ensure F would get a managerial position if it came up again. 

As an agency staff, F does not receive sick leave, annual leave or any other kind of benefits which permanent staff receive and so has been applying relentlessly to any position in our department which is advertised to benefit from these privileges. F also smokes like a chimney, usually 10+ a day. We work in a location which due to Health and Safety laws requires at least two staff on duty at any one time or else the building should be closed.

End background.

To the story itself, I recently returned to work after 6 months off work due to medical issues. On my first day back, F was in charge and was very friendly and happy. Although not entirely comfortable around F, I enjoyed going back to work and had a good day in general. 

Several days later, our building was extremely cold, due to both cold weather and poor heating systems. I was wearing a hooded jumper on the day and pulled my hood over my head twice due to this cold. F told me twice to pull my hood down as customers could complain. Although I did pull my hood down both times I was asked to, the second time I made a off hand comment along the lines of "I didn't come here to work, I came here to chill". I remember laughing as I said this, and obviously intending it as a joke. I didn't think any more of it and didn't pull my hood up again for the rest of the day. 

Unfortunately, this week I was pulled into my line managers office alongside F. I was told that F had reported this hood issue alongside the comment I had made to my line manager, alongside some other issues my manager had picked up on. When I said it was obviously a joke, F pulled out a copy of the employee handbook and showed me the section where it says employees shouldn't make jokes about the job - obviously paraphrasing here, but that was the meaning of that part of it.

I was chewed out for not taking my job seriously and making remarks which undermined the profession and so on. Obviously I was shocked that F had even reported these comments to my manager and although I defended myself but saying it was just a joke, my manager didn't think that was a good reason. I was warned about future conduct and so on - luckily no disciplinary proceedings were started. 

As a punishment, I do have to work at a secondary, worse location for a few days as a result which I absolutely detest - both my line manager and F know this and no doubt planned it accordingly. After this meeting, my manager left for the day and only me and F were left in the building. Although I didn't bring it up with F, there was obvious tension between us and no conversation apart from work related talk. I did want to ask why F reported me but didn't do so - I won't be seeing F for a few weeks now due to being placed elsewhere so won't have the opportunity to ask till then.

Later on that day, I noticed that F was doing several things which are absolutely prohibited by the Employee Conduct Code - playing on a phone, using work PCs for non work related issues, using printers to print off personal stuff. The kicker however came when F left the building for a quick cigarette break during a tea break. F also left tobacco, rolling papers and filters on a table which people use to eat - this is banned and other staff members have been given warnings due to doing this before. 

Now, not only is leaving the building with only one staff member against Health and Safety Laws, it left me alone in the building with around 5-6 customers inside, any of whom could have started trouble or had some issues which would require at least two members of staff on hand. My building also has a roof leakage at the moment, which has meant a portion of the building being sealed off as it's directly underneath the leakage and bins are placed to collect water - however it can easily be accessed and several customers have done so. Although F was stood just outside the back entrance of our building and was on a tea break at the time, leaving only one person inside is a big no no and something that should be taken very seriously.

I should also note, this job is very relaxed. Although we have duties and responsibilities, these can usually be done within a couple of hours, leaving the rest of the day to relax and chill out. I have, on several occasions watched football games and completed uni work/revised for exams at work. F usually doesn't have a problem with this - if I was to report F and our relationship was to change as a result - F could make the job a lot harder and a lot more tedious, but still bearable. 

Altogether, this means if I reported this, whilst it wouldn't be enough to cause Fs removal, it would probably be enough to ensure F wouldn't get a permanent position if one came up. Even if it wasn't held against F,  it's enough to cause at least enough trouble for F as it caused me. 

Whilst on one hand I want to report F for the same violations of the Code I was reported for, the consequences will obviously be a lot worse for F then they were for me. This job, whilst a nice earner, isn't that important to me. For F however, it's the only source of income. The nature of our position and it's declining relevance to the World also means F would struggle to find a permanent job elsewhere.

My question therefore is:
1) Would I be the asshole for reporting my coworker for violations of the same code which I was reported for?
2) Is it worth me reporting F and potentially making my life harder when I'm going to most likely be leaving within the next 6/7 months?