The play【 may be begun or may have begun 】already?哪个对?

The play【 may be begun or may have begun 】already?哪个对?
正确的是：The play may have begun already.
因为begin常用做【不及物动词】,一般不用被动语态.
又如：
The problems began last November.(不说：The problems was begun last November.)
问题在去年11月份开始出现.那另外一个是错误的句子咯？是不是所有不及物动词都没有被动语态？对！所有不及物动词都没有被动语态。