"send" or "send to"?

Please send her a mail. > Please send her a letter. Please send her an e-mail.
Please send a mail to her. > Please send a letter to her. Please send an e-mail to her.
Please send to her a mail. (This sounds a bit odd to me, but I would want to know if this construct is grammatical) Not grammatical.

I have the same question when it comes to using verbs such as grant, pass, do and a few more I'm not able to recall at the moment.

Grant them the required privileges. OK.
Grant the required privileges to them. OK. Less idiomatic.

Pass me the bowl. OK.
Pass the bowl to me. OK. Somewhat less idiomatic.

I'm sure this victory would do a world of good to his confidence. OK. Something strange here, though. > How about "I was sure that victory would do a world of good for his confidence"? How about "I'm sure this victory will do a world of good for his confidence"?
I'm sure this victory would do his confidence a world of good. OK, with same possible alterations as above.

CJ