Hi there.
Looks like your annual income is €10,342. The exemption limit for a single person under 65 is €5,210, so yes, looks like you will be paying tax.
€10,343@20% = €2,069 Being tax payable at standard rate
Tax credits: Single person credit= €1,580 and PAYE credit is €1,270, total for these credits is €2,850, so looks like you will pay no tax.
You may be liable for PRSI class A0, but I only know about A1, so can't comment. For class A1, the first €144 per week is exempt and then the charge is 4%, I would imagine A0 is lower.
The health levy of 2% is payable on all income.
Hope this helps