Well, I worked in LTC and I worked with a couple people that had been through rehab and on probation. Basically, the only thing they could not do was have access to the Narcotic keys. Other than that, nothing different! Both people I worked with were awesome Nurses, too! They were smart, efficient and kind.
Everyone (Nurses) were aware of their situation, but we weren't there to be judging. We were so incredibly busy, I don't know how one would have time to think about some else's probation anyway. We worked as a team and I was thankful I had such great people to work with.
You will be able to work in places that have narcotics, you just may not be able to hold the key to have direct access to them. Every institution has different policies from what I understand.
Good luck...I know that you will do just fine!