googlenut Congrats on your presentation--it sounds like the audience liked it. I sympathise with your symptoms, but PLEASE stop beating yourself up about this. You got through it, and got positive feedback from your audience.
What makes you think they were "just being kind"? Why would they not genuinely mean it? It's a well-known fact that women routinely underestimate their abilities and performance in a way that their male colleagues rarely do. Women tend to attribute success to "luck" and compliments to people "being kind", while their male colleagues put it down to their being the mutt's nuts.
You went up there, experienced a physiological anxiety response, and yet you still got through it. Surely this is a sign of your innate excellence? Plus, as you note, you warmed up towards the end and managed to relax a bit. Even better, you got unprompted positive comments from the audience afterwards. You rock!
If, like me, you tend to have an anxious dispostion, fret about your performance and are self-critical, try writing down a list of everything that went WELL during your presentation. Focus on those bits and pat yourself on the back. It's telling that most of what you've posted about your talk dwells in the negatives!
If you dwell on the negatives too much you risk winding yourself up and making yourself needlessly MORE anxious about the next presentation you have to make. This would be a shame, because as you found when you started to relax towards the end of the talk: your nerves can and will settle down.
Everyone gets a jolt of adrenaline when they stand up to give a talk--it's probably what caused your dry mouth and sweating. Try to see it that way: it's just a natural physiological reaction, you can deal with it perfectly well, and its effects will diminish the more experience you get delivering presentations.