If you work, you can't earn more than £95 per weeek... or you won't qualify for Carers Allowance - CarersUK: Carers Allowance
That figure I highly suspect is GROSS salary figure.
What other benefits do you get by qualifying for Carers Allowance? Are there any other benefits which are related to it... such as due to qualifying for carers allowance you therefore also get x, y, z?
Pondering if it is worthwhile not getting the Carers Allowance.
The school term may be 39 weeks... it may be 36 weeks... it varies from school to school - so you will need to check that with the teachers concerned. If you can't take holiday during that time, then you need to add it on - so for a 2 day a week job, that is another 11.1 days (which can include Bank Holidays, if they fall on a working day).
So it's possible that you would be paid for around 44 weeks per year.
Why NET! Ahh! Have they said what it is Gross?
If Tax code BR (so no personal allowance to use), £128 NET becomes £168.77 gross per week... £8776 per year.
If Tax free allowance is £6035, then £128 NET per week, is £7027 Gross per year.
Big difference between those Gross salary figures - thus why I always tell employers to agree a GROSS salary.
To keep Carers Allowance, you cannot earn more than £5.93 Gross per hour... if working a 16 hour week.
National Minimum Wage is currently £5.73 (if aged 22+) and is in my view likely to increase. It is horribly near the max figure you can earn to keep carers allowance.
Therefore I feel you need to drop the pay to NMW AND drop the hours if NMW goes up.
Alternatively. If they paid £5.73 per hour for 16 hours per week for 44 weeks of the year... your annual salary would be £4174.72 with combined with £2268 CA, gives £6442.72.
This is still above the tax free allowance of £6035.
This probably isn't helping. Need to know what GROSS Annual Salary they are offering you, to see if it is worth not claiming Carers Allowance. But is not claiming that allowance something you want to do?