I think anything besides flowers is a bit too serious nowadays. Even flowers would only work on a girl who you know would appreciate the gesture instead of someone who runs away from commitment. It's a cute idea though, I like it. Unfortunately just don't think most would be receptive
Don't do it, not on the first date. Some disney gag programmed girls will probably say yes (i assume) to this, but seriously don't do it. It's so strong, like there's more risk than potential benefits. And, you don't want to have to "qualify" yourself to anyone.
It's a nice addition but it isn't necessary. All I'm thinking is that , what if the date was a disaster? Then must I feel inclined to keep that gift? I think a second date gift seems a little more appropriate , that way at least you've had a little success with the girl and may know what she likes.
I think it would be a bit much -like you are trying too hard of have to make up for something. If you sketch her on a napkin and give to her then sure. But otherwise I would say no. (Then rather offer to pay the full bill) (yes I typically like to go the European style)
I don't expect one and have never gotten one on the first date, but I could dig it. I guess from my experience guys tend to think a gift is appropriate after you've been on a few dates as a sign that it is going well