I remember object verb+ing

I remember he said, "I have plans tonight."

2)I remember them making a boat. (While they were making a boat, I was aware of it and I remember that now.)
or I remember they made a boat. (I remember the information, the fact that they did make a boat.)

3) I remember her going to Singapore. (I remember being aware of her process of going to Singapore.)
or I remember she will go to Singapore.  (this one is future)

One more thing,
I'm confused say and tell.

For example,
1)He said to me I am going to cook. (No. He said to me, "I am going to cook.")
2)He said to me he is going to cook. (No. He told me that he is going to cook.)

His name is Sam in that sentence.
And I heard he(=Sam) is going to cook. (yes)

For example about tell.
It's same.

1)He told me I am going to cook. (No. He told me, "I am going to cook.")
2)He told me he is going to cook. (yes)

Which one is correct..?

Please let me know this..

Have a nice day~!