Indirect speech question

[cubezero3]

Hello, everyone.

#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.

Many thanks

Richard

[5jj]

#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.
Very few people argue that the the present tense should be used. Some of us say that it can be, and indeed is, used.

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.

If the original direct speech contained the word 'may', then both are acceptable - if the possibility of the drink problem still exists. If the drink problem no longer exists, then only 'might' is correct. If the original direct speech contained the word 'might', then only 'might' is correct.