Looks more like a hover fly, or false bee, to me. Admittedly cant see that much detail, but bees and wasps (and ants) belong to the order Hymenoptera, which have the distinguishing feature of 2 sets of wings, compared to flies (Diptera), which have a single set of wings and usually a pair of "halters" which look like stubs.
Correct! (I think)
It was most definitely hovering, hence getting a good picture, made it easy to follow it round then give me time to re-focus before it hovered somewhere else, got quite a few good pics, but liked this one the best...
For the mouse, I was in the garden and saw run over by the bin, then it saw me and shot behind, so gave me enough time to run in the house and grab the camera and waited a few minutes for it to come back out again..
For both I used my 70 - 300 (Non-IS) Canon Lens
Thanks for your comments guys much appreciated!