It is rumoured that the NICEIC will require you to have been trading for up to 2 years prior to registration as an approved contractor but i am sure they will gladly register you if you can illustrate your experience with their services with your current company. This is what happened for me.
Is it likely that this is going to happen?
Are you a registered QS?
I took me two months to setup as I was already recognized by the NIC as a QS, all I had to do was obtain the credentials and got a couple of jobs done. The main delay was in notifying my sample job via the labc. They had no one there who could actually carry out an inspection of any kind. I ended offering my services to the labc to then inspect my work on their behalf. So this is what happened.
I'm sure now though, that all labcs have something in place.
BTW this was so I could register to self certify and notify.