I have only read page one so far, so apologies if someone else has already mentioned this, but they look exactly like tonsil stones to me. Tonsil stones can also cause the type of cough you are describing, and the feeling of something stuck in your throat. I am not sure about the tiredness, unless you are losing sleep over the coughing, and or the worrying. As for coughing-up green phlegm, that does sound like an infection that unfortunately sounds like it needs antibiotics as it has been going on for a while now, and if you have been fighting an infection for a while that could easily be the cause of your tiredness. So, I think that you have at least two things (not including your fissure) going on here, tonsil stones and a mouth throat infection - both of which could be related, but neither have anything to do with cancer.
It is even possible that your fissure is also related to your other two symptoms, but whether they are or not, whenever you see a medical expert be prepared to be honest about your general lifestyle, and always mention any other irregularities you have noticed in your body - even if it is something like thrush, which by the way can also cause white patches in your mouth.
My advice @whatdoidonowthenn is that (if you have time) you write an email to your GP at the practice, and copy it to the practice manager, this morning, before 08:00am. If you can't do it by then, then do it as soon as you can - this needs sorting, and I am very disappointed with your GP that you have been fobbed off so far. You need to attach your photo of the inside of your mouth to your email to the practice. If your practice does not give you individual GP's email addresses, then send your email - marked "urgent please" if it is not to a particular named person - to the email address that they do supply, and if it is not the practice managers direct email address, also mark it for the attention of a doctor (yours might not be working today) and for the attention of the Practice Manager.
Practice Managers are usually very helpful, polite, and a great resource to use whenever there are any problems at a surgery. I will give you an example that you could tweak to suit you if you are pushed for time:
Dear Dr. Xxxxxx
Please find the attached photo of the inside of my mouth, which shows some white patches towards the back of my mouth. I have included the photo in case it can help you understand my problem, and help with any treatment I may need.
I have had an almost constant cough for xxxxxx now (or, you could be more specific with since January, or, November 2022, or since I had the flu in d a t e), my cough occurs about every xx minutes throughout the day - sorry OP, I can't remember your exact description of the timing etc, so please do your own description - and it feels as if I am trying to clear something from my xxxxx (throat or lungs? Or just leave it as clear or cough something up).
I sometimes manage to cough up some green phlegm, but unfortunately that does not stop my feeling of needing to clear my throat.
I am of course happy to come to an appointment with you, as I realise that a photo on it's own, and a quick description of my symptoms, are probably not very good diagnostic tools. These symptoms are really getting me down now, and the lengh of time of their duration is beginning to make me think it could be something more serious like cancer.
Many thanks for taking the time to read this
Whatdoidonowthenn
I am sure that you can write a much better email than this OP, I just hoped it might help you think of the right words if your time is short! Oh, and Good Luck with getting this sorted very quickly now!