Perplexing sentences

1. He said, "I must leave now ." - He said he .................leave then.

a) must b) had to c) would have to d) will have to

2. He said, "I must leave tomorrow." - He said he .................leave the following day.

a) must b) had to c) would have to d) will have to

3. My friend said, "We had lunch outdoors yesterday." -My friend said that they ..............lunch outdoors the day before.

a) had b) had had

I studied that 'must ' and 'the past simple tense' can remain unchanged in reported speech. Therefore, I go for the following choices :

1. a & b

2. a & b

3. a & b

Am I right?