bee logo cleanup

Hi guys. Would you mind cleaning up the edges of this, I guess by recreating it? I vectorized it with Inkscape and I don't know what I'm doing very well yet.

[https://i.imgur.com/pNikQDy.png](https://i.imgur.com/pNikQDy.png)

And then could you please make this one just black and white?

[http://www.kimcashtate.com/wp-content/uploads/2011/11/HiRes.jpg](http://www.kimcashtate.com/wp-content/uploads/2011/11/HiRes.jpg)

It would be great if you could give me 300 dpi PNG files, and if you feel like it the source vector file would be good. Thank you very much!