SOC Code wrong on CoS - Urgent Please

I need some help, please.

My employer issued me a CoS today and have now emailed me a PDF copy of it. On the copy there are a couple of mistakes and I'm really worried that these mistakes will cause issues in my Skilled Worker application.

1- SOC code used on the CoS is 2312 Further Education Teaching Professionals, however, I will be teaching in a secondary school, so shouldn't the code be 2314 Secondary Education Teaching Professionals?

2- What qualifies as new entrant? I graduated in 2020 and only worked on a fixed-term contract through an agency whilst on Tier 4 DES Visa, I thought this meant I would be regarded as new entrant, however, on the CoS next to New Entrant it says 'N'.

3- Salary on the CoS is 26K - would this get points?

4- I hold a PhD that is relevant to the teaching role I will be undertaking, but, on the CoS where it says "Is the worker claiming points for a PhD-level relevant to the job?" it says "N" - Shouldn't this be "Y" so I can score 10 points for the PhD?