Non its not OK!
i suppose it is okay if you two are not "exclusive".. personally i date one person at a time. but maybe that's just me..
While dating multi guys or girls does its good benefits but overall that's a player and it's hard work keeping up with all dates. It's like cheating on one another whether intimate or not. It's best to date one at a time and have others as strictly platonic friendships. So to speak, drop her like a hot potatoe is the right way to go.
I think it's ok if you aren't having sex with them and the relationships are casual
You're right to feel the way you do and as long as neither of you have made some kind of commitment you are both free to see who you like but this light foreplay would certainly put me off as she's clearly not really thinking about anyone else's feelings but her own. Sounds like a bit of an attention seeker to me.
Why do you think someone can only date you .. if you're not in a committed relationship with her??? If someone wants to date more than one person at a time .. it's their choice. "Dating" isn't owning someone.
That sounds like something someone from the 50's would think. I don't think most men think that way anymore. And, if a woman would think that a guy should only be dating her .. he'd laugh that off.