Your text was fine! You dropped the ball not letting him know you got home safe as you'd agreed to, but on the flip side it doesn't look great on him that you never messaged and he didn't check you were alright! I know there's no reason for you not to be but surely the 'let me know you're home safe' kinda implies that the other person cares and wants to know you've made it home alright?
Don't message again, in fact, stop analysing it and go message your friends instead about anything other than this, remind yourself there are lots of fish in the sea and no one man is so crucial that he requires this amount of analysing :) you'll be fine whatever happens.
To PP saying your text was cold, have you ever met a man who is interested in you? 😂 Wild horses wouldn't keep them away, let alone a slightly businesslike text message. He might be a bit 'oh, better wait a bit for my next message if she's not too keen' but if he likes OP he'll be in touch to set up meeting again.
I wouldn't want to be with someone eventually who was so ineffectual they let the tone of a message put them off asking me out again.
Whether he gets in touch or not is out of your hands so try forget about it, no point worrying!
Btw what was it about him that made you so into him that you're this invested so early on? He must be amazing!