Because you've been working and have paid sufficient PRSI contributions, you are entitled to Jobseeker's Benefit. If you're on One Parent Family payment, you can only get half the amount of Jobseeker's you'd be entitled to if it were your only source of income.
I've had a look at the online OFP application form and there is no section for the CWO to complete. There is a section for the Social Welfare Inspector to complete, s/he is a different person, who assesses your OFP claim and will visit you or meet you in a Social Welfare Office.
As Welfarite said, complete the OFP form and call into your nearest SW Local office next week where you can hand it in and make a claim for Jobseeker's as well. Have a read of the sticky post in the "Redundancy" forum on AAM, where Welfarite posted a very comprehensive guide to claiming Jobseeker's.
The application for Rent Supplement is made to the local CWO.