Most of the admins and network engineers I know started out as PC technicians or network technicians first. Most of the time employers will find out what skills you have and capitalize on them fairly quickly. If you are good with servers you kind of move that way and become a Server/System Admin . Same goes for Network Engineering. The important thing is to start somewhere like everyone else has said. Every skill you learn gets added to your resume and helps you become a better troubleshooter.
I was around 30 when I started in IT professionally and have changed focus a couple of times. Now most of the jobs I get are as a Network Engineer. Hang in there it gets easier as time goes by
I am in the Charleston SC area and at times there can be quite a few IT jobs in various sectors here. The city of Charleston has also started to develop a technology corridor to promote programming training at low or in some cases no cost. This has the added benefit of bringing in admin and support jobs as well.