<human>: Condense the text into a few key points

So I've been dating this girl for about two months now. We met on... Tinder... She didn't want anything serious. We casually dated for about a month before I asked her if I was changing her mind and she said yes. Next week we made it official. And she isn't trying to hide it from anyone. She has pictures of us on FB and makes it well known that I'm her boyfriend. Fast forward a month, she has called me "my love" and other things along those lines and last week she said she was in love with me. 

Her backstory, she has a male roommate that she used to work with. She says the guy is very immature and he's not really a "looker" and there has never been anything, and never will be anything with the guy. Her friend's tried to get her to date him, but she says she didn't want anything to do with it. Even though she says this it is the source of all my concerns.

Now for my question(s). One its hard to spend time with her, something always comes up. I.e. she got off work late and is tired, but then I hear about her out drinking with co-workers. We only get to see each other once or twice a week for a total of like 6 hours + sleeping. She is always coming over to my house. I've picked her up from her apartment / walked her to her door, but I've never been invited over, or inside. 

Am I crazy and being a needy little baby, or do you guys think I have something to be concerned with? Should I just give it time?

Oh I should add. Her roommate definitely knows we're dating. She dropped her phone in the pool one day and text'd me from his number calling me baby, saying I love you and things like that.
<bot>: Dating girl for 2 months, she has never invited me inside her apartment, has a male roommate. Do I need to be concerned?