Are you fit to work? If you are not, you may not be eligible to sign on (because you must be available for work and looking for work to claim Jobseekers). You might be eligible for Illness Benefit based on your PRSI contributions.
If you are available for work, you can make a claim for Jobseekers Benefit which is based on your PRSI contributions. If you don't have enough contributions for Jobseeker's Benefit, you can apply for Jobseeker's Allowance which is means-tested.
You can apply for Rent Supplement if you've been renting for a minimum of 6 months. It's a means-tested payment, and entitlement is based on family income and a maximum rent limit. Contact the SWA officer who is based either at your local HSE health centre or SW local office.