Bottom line is you feel uncomfortable enough that you don't want to go have coffee with her. That's okay! There is nothing wrong with your feeling that way. Respect your feelings and just make excuses for the "let's have coffee" suggestions. If you do it enough, cancel at the last minute, have something come up, if she's real insistent. She will eventually get the idea. If she confronts you outright about it, tell the truth. You don't want to hurt her feelings, you feel a little "silly" but you just don't feel comfortable having any relationship with her other than what you already have. You want to stick to that. Tell her it's got nothing to do with her, it's you and you are still trying to figure it out. But until you do and can feel comfortable with her, you don't want coffee or anything else with her.

As for the honey and sweetie, it may be a hard habit to break for her but you should gently and as kindly as possible let her know that it make you feel uncomfortable when people don't address you by other than your name.

And perhaps you can make a game of it, once you tell her how you feel about the honey stuff. When ever she slips and calls you honey or sweetie you can jump right in and call her something outrageously gooey or sweet, like "sure sugar gummie bear", or "okay cinnanmon honey bun" or "right cotton candy." I'm not particularly creative, but I'm sure you get the idea, try to give it back to her but in a funny, friendly way that still reminds her that you don't like being called honey or sweetie.