I can't help but wonder if you are only asking this to be spiteful. In any case, I will try to answer.
As long as the father is asking her to act Godly. If he is asking her to act more modest and decent then yes. However, if he is asking her to act whorish and slutty then no. The daughter would know if the father is asking her to act Godly or not.
I have not read anything that says she
has to move back into her father's house. However, is one verse where the daughter was told to go live with her father and another one where it states 'if' the daughter was to go back to live with her father. Neither one is saying that if the daughter is a widow she 'has' to.
Gen 38:11 Then said Judah to Tamar his daughter in law, Remain a widow at thy father's house, till Shelah my son be grown: for he said, Lest peradventure he die also, as his brethren did. And Tamar went and dwelt in her father's house.
Lev 22:13 But if the priest's daughter be a widow, or divorced, and have no child, and is returned unto her father's house, as in her youth, she shall eat of her father's meat: but there shall no stranger eat thereof.
Again, if the father is asking her these things due to the fact he wants her to be more Godly then yes. However, we are told that if a woman is widowed under a certain age she should remarry. So if she is under that age then the father can not tell her she can not date.
Also if she is not living in her father's house, then it would be hard for her not to work to pay her own bills.
And as to her clothes, if she is a Godly woman her father should not have to tell her what to wear.