#1 She said she was a doctor.
#2 She said she is a doctor.
I know people are split over whether "is" or "was" should be used here. Some may argue that the present tense should be employed, if she is still a doctor at the time of speaking.
Now, my question is whether there are any differences between the following sentences. If so, what are they?
#3 She said that she may have a drink problem
#4 She said that she might have a drink problem.