IT is a a bit vague tbh.. Desktop, Server, development, support?
Go for the A+ anyway for the experience if anything else but don't expect it to be a career turning qualification. Just because an individual can build a PC, it doesn't qualify for working in IT. Sorry.
I don't wish to sound pessimistic but the problem is a lot more people learning IT skills at a young age now. When I got in to IT, no one had PCs at home so the skills were very limited and getting in was easy. Now that everyone has access to a computer of some form, most people have good IT skills from leaving school. My 7 year old for example, is a dab hand at "scratch" and whilst this isn't a complete development tool, he's learning the fundamental prerequisites of programming and pre-written code can be downloaded and stitched together.. Why re-write code when it's already been done? What i'm trying to say is that you'll be competing against university graduates or people that have been in the industry a long time that have the skills already.
Also, bear in mind a lot old companies are outsourcing and centralising which makes things even harder. The IT department I work for had a team of 64+ people 10 years ago. We are all but just a few.
My suggestion is to find the area of IT that interests you the most and focus on that. Give your self a reason that makes you marketable, even if it's something to get your foot in to the door, like support.
what's interesting, whilst you are trying to get in i'm trying the opposite
Good luck