I have a similar issue. I should have enough hours + ATPL to start applying to a major carrier in about 2-3 years from now but.....
Last year I was arrested in Adelaide for "Attempting to Re-enter". To translate this means I was booted out of a pub (yes I was drunk). The cops happened to be floating around the pub at the time and told me to leave. About half an hour later I came back and tried to tell the bouncer that I had sobered up a bit and asked to get back in. Cops came back, next thing I was in cuffs, then paddy wagon, then down in the cells for the night.
I ended up having to go to court, got $150 fine and "No conviction recorded".
This all happened about 18 months ago now and ever since then I have been quite concerned about my chances of getting into an airline. I asked my lawyer about what ramifications it may have for me and she laughed it off saying it was such a minor offence, but I am not convinced.