A: Tommy to Carbone
Q: I mean to my mother, that was the answer to all of her prayers

Henry narrating.
Q. "Eight hundred? All right, I'm in..."

A: Tommy to Jimmy
Q: We were a trio instead of a double-date

Karen narrating.
Q. "I hit a skunk, ok?"

A: Henry to Karen
Q: You gotta get me outta here

Henry to Karen.
Q. "I swear on the kids I'm clean."

A: Henry to Paulie

Q: "Meet the kid Henry..."

A: Paulie to Jimmy
Q: No. No, Tommy...

Henry to Tommy.
Q. "...cause dey're bustin' my balls about dis guy..."

A: Paulie to Henry

Mine wasn't correct

Q: No. No, Tommy...

Sonny to Tommy.
Q. "His whole family was rats."

I was looking for Batts to Tommy lying in the car before Tommy stabs him but that's alright

A: Tommy to everyone at the card table
Q: Are you here to stay?

Henry's daughter to Henry.
Q. "I'm from Miami..."

Since no one has answered:
"I'm from Miami" was one of the gals at Micki Conway's party to Karen.

Someone else post...

Q: They used to call him Jimmy 'The Gent'

Henry narrating.
Q. "Yez two are gonna be working together."

A: Jimmy to Tommy and Henry
Q: He looks like someone we know

Jimmy to Henry and Tommy re. picture.
Q. "Forget about tonight."

A: Jimmy to Henry
Q: Did you know him?

Henry to Karen re. Bruce.
Q. "Who loves ya more than I do?"

A: Maurie to Jimmy
Q: She gave up everybody...

If it was "He gave up everybody," it was Jimmy to Henry in the diner.
If so,
Q. "Uh, yes sir, that's me..."

A: Henry to Judge

Mine wasn't correct

Q: She gave up everybody...

I'll guess: Henry narrating.
If so:
Q. "Didja learn a lot?"

Since no one has answered:
"Didja learn a lot" was Henry's father to Henry.

Someone else post...

Q: My daughter's me you're half-Jewish

Karen's mom to Henry.
Q. "The other one...you couldn't even sit on it."

Karen to Belle.

Q: "So I say, keep your fucking hands off me or I'll cut them off."

One of the women at Micki Conway's party.
Q. "She had violet eyes, like Liz Taylor..."

A: Henry narrating
Q: Help the lady out