In reply to jkarran:
For anyone following, I finally got round to sorting out my axe. As many seem to have done, I drilled out the existing rivet (4mm drill bit) and widened the hole for the new bolt. I used an M6 joint connector nut (12mm) and joint connector bolt (25mm). Use a hacksaw to trim the bolt to the correct length, which takes no time at all. Far better than filling it!
5mm drill bit for the bolt hole. 5.5mm would be better but with a bit of play the 5mm works fine. 9mm for the nut.
I didn't use the epoxy as just adding the new bolt resolved the issue, for now at least. It feels solid anyway. I can always add the paste after if the wobble comes back. My wobble wasn't very pronounced & the head really snugly fit into the shaft. So much so that I couldn't remove it without a hammer and a lot of force. I decided not to in the end and just drilled the new bolt.
I used a vice to hold the axe while drilling. I'd recommend this and it might have been the reason I did not need to the epoxy.
Thanks for all the reply's
David