It's not about the mistakes. Stupid people will care about the mistakes, other people will care about phrasing and instrumentation.
So.
The tempo is fine. The problem is never (almost) the tempo itself. The thing is that it's slightly heavy, which makes it sound slower than it is.
A few notes:
Try to make phrases sound differently. Like the first two. First there is a scale, and then sort of an . In the development, you do it quite well, but in the exposition, you don't really do it. Then it sounds just like the same, which takes away a lot from the theme.
Be careful so that you don't go slower in the end of phrases too. That's also a reason why it sounds too slow.
Some of your short notes are awfully short. In this type of music, you should try to think of orchestral music, or at least trio/quartet. A violin in an orchestra would never play a staccato note super short. Like the ones in the end of the first theme. They can't be that short.
Be sure to finish the phrases before you start a new one. it doesn't mean slowing down, but sometimes have a small cesura between.
Take care of your heavy/light notes (the slurs). Don't overdo it.
There are loud octaves, playing like a 7th chord, that are followed by a very soft line. (yes, sorry, I don't have bar numbers) Don't play the soft too soft. If you go really F to really P, it's always difficult to hear the beginning of the soft part.
And really, the wrong notes are nothing to worry about. Play the rest well, and people will forget about them.
You're doing fine.