Hi Rome,
I know very little about apprenticeships and even less about air conditioning, but here is my 2 pence worth.
Contact FAS today, I know they dont have a great rep but they are all we have. If you dont get someone helpful today call again tomorrow and everyday after that until you get someone useful, there are useful people in every organisation, they just need to be rooted out of some.
Never,never let your age stand in your way, you are 36 not 96 for gods sake. If you were over 70 I might go a bit easier on you depending on your health but 36, pleeeaaase, give me a break
Go for it!!
You do sound like your head is wrecked since becoming unemployed. What age is your child, are you responsible for it care during the day or can someone else do that?
While Fas get it together, and you may be lucky it might happen quickly, why not log on to volunteer.ie and sign up for something to do that you enjoy, you wont get paid but you will get job satisfaction and worth while experience.
Best of luck and let us know how you get on. LS.