I can find an entry for a fellow passenger on the migrant ship Fairstar leaving Southampton 3/7/1968.
However, the search doesn't find my own name anywhere in the records. i am pretty sure I was on the same ship.
Hmm , I suspect that you are pretty easy to find, but won't put a direct link here re your privacy ..
Select "passenger arrivals" and use only your surname and 1968 as your search criteria.