Hi Scott,
Limerick will close during the spring thaw and you will see notices in the general forum about it. The dates are different every year so we have to watch for the announcement. I'm not aware of any other closures but you would be wise to stay out of any wooded area at least until the snow is gone.
I have not yet received any notice from the Limerick Forest Manager regarding the usual spring closure for motorized vehicles but I expect it any day now given the weather. I will make a post on the general forum when I get the news.