Meaning of 'Back is a verb'

Dear teachers,

Please read:

We told her we’[color=red]d [color=green]back her [color=darkblue]whatever.

1/"'d" = would (past form of “will”)
Is it right?

2/Back is a verb. It means…

3/ Whatever means…

Please help me. I can’t find the meaning in the dictionary.

Quoc

With no further context, that’s the best I can do.

Many thanks, teacher.

Could you explain me what does “no matter what” mean?
It means in any way, at any conditions, we will support her?

Quoc

.
Yes, that’s basically right.
No matter what (happens)” means “it doesn’t matter what happens or what the situation is. Anything that happens will be accepted.”