PAYE worker earning additional income from contracting for Swiss based company

Hi
I'm looking into a part-time job for a company based in Switzerland. The job will be internet based so I will do it from home (in Ireland). Assuming I set myself up as a Can anyone confirm:
(1) Sole trader or Limited Company
This is probably a massive question but should I set myself up as a company. Can I do this and also be a PAYE worker and if so will this affect my tax free allowance etc.
(2) Swiss employer
Do I pay tax based on the Irish tax system or swiss tax system? The company want me to invoice them directly.
(3) Tax rate on additional income
In my day job I earn enought to put me on the high rate of tax. What rate would the additional income be charged at?
Thanks in advance
JC

It sound like you may automatically be an employee of the Swiss company.

If you are an employee, the Swiss company are obliged to operate Irish PAYE on your income. They may not be aware of this.

However, if you are doing project work or ad-hoc work, you may be considered to be self-employed and therefore you can invoice the Swiss company.

If self-employed carrying out duties in Ireland, you are liable to tax in Ireland at your marginal rate.

With regard to whether to incorporate or not, you will need to seek specific advice, but if the amounts involved are small, I would not think it would be worth doing this - however, that is just a general opinion.