A couple nights ago, I asked a girl to go to lunch with me. She said she was busy during the day but wanted to grab dinner later that night if that works for me. I wasn't busy so I agreed. We've been ok friends for a little while, and we have actually been to the same restaurant with each other a couple times before. I never knew though if she took it as a date or what but I have always enjoyed her company. Anyways, dinner went well and I asked her if she wanted to grab a couple drinks afterwards. She agreed, and we stayed at the bar for a couple hours before going our separate ways. It was a pleasant time I thought.
I received a text from her about an hour later saying she had a really good time that night, and that she wanted to go to this club with me later this week. I took that as a good sign, told her that I had fun as well and that I look forward to going out with everyone. She didn't respond but it was late at night and I just thought she fell asleep or something. I texted her the next day about an inside joke, but didn't receive a response until about three hours later after I sent it, and her response was very plain which I didn't really know how to respond to. It wasn't anything bad, just plain is the best way to describe it. Usually we send fun, flirty texts back and forth but I figured because it took her so long to respond (and what she sent wasn't much of a response at all), that I better not ruin it before we go out later in the week. So I decided just to not respond. That was yesterday, and I thought maybe I'd hear something from her since then but I've heard nothing at all.
I'm almost positive that I am just thinking way too much into this, but wanted to run it by you all first for clarification. The "I had a really good time tonight" text is definitely a good sign right? I paid for the dinner, and she paid for the drinks at the bar (we only got two large beers between us so it wasn't much at all, and she offered to pay that so I let her). I'm not sure what justifies a date being a date, but do you think she took it that way? Also, what should I think about the minimal communication we have had since then? I thought it was a little odd, but am I thinking too much into it? Afterall, it has only been like a day and a half or so since we went out together. Should I be the one to get in touch with her tomorrow about going out, or should I wait for her to contact me?
Sorry if this all seems like simple stuff, but I have never been great with women and wanted to get advice on these situations from other people who I'm sure at better at this than me. Thanks for the help!