<human>: I (late 20s/F) have had a flirtation with a guy (late 20s/M) at a business I patronize for around a month. He works there, so I thought it would be best for me to make the first move. So, on my way out the door one day, I slipped him my number and asked him to call/text me. He messaged me two hours later and we exchanged some getting to know you texts. 

I asked him then, over text, if he'd like to get coffee or lunch sometime. He said he would like that and would check his schedule. The conversation died down (I stopped responding at what I thought was a good point). He texted me goodnight that night a little while later. 

Next day: I texted him good morning and told him I was sorry I missed his good night text. Later in the evening, he texted "hey," but I was asleep and didn't read it until the morning. Told him hi and that I hope he has a good day.

So, with that, two questions: I really don't like playing text tag any more than phone tag, but 

*(1) am I sending him the wrong signals by not responding quickly enough? Presumably he knows I'm interested since I gave him my number. I guess I'll just have to stay glued to my phone and not sleep?
 
*(2) He still hasn't gotten back to me about when he's free for actually meeting up. Was I too forward in asking him out? Is the fact that he hasn't gotten back to me, except to say hey, a sign that he's really not that interested? 

Yes, I am probably being neurotic, but I just got out of a LTR and haven't really had to deal with texting new love interests in this way before. Any insight from serial texters is much appreciated!

Can you provide a brief rundown of the text in within 3 sentences?
<bot>: I have been slow in responding to texts; worried that I messed up. He hasn't gotten back to me about meeting in person; worried that he's not really that into me.