Lover is simply agreeing on everything Liz wants. If she doesn't want to go to work, just be ok with it. Spend time with her, visit her, have sex with her, etc.
NTS is short for Netorase where a guy gets horny in seeing his girlfriend being depraved. Typically asking Liz to show extreme lewdness and be more vulgar. You need to ask her to wear more revealing clothes, show off and flirt with other guys, post lewd pics, etc.