I am finding myself in a difficult situation. I took a new job in June with a start date in middle August. I am from a EU country and I should relocate in UK for my new activity. Due to a health issue problem of my parents I had to move the start date to middle September, but now the problem has recurred and I am uncomfortably close to the start date. I don't think they will grant me another start date delay and, giving the circumstances, I don't think I will be able to join at the concorded day. How can I explain the situation without looking fickle?
If it's concerning health you could simply say "That the previous health problem relapsed and you need more time". Which probably has 2 results: Either the company comply and extend or in urgent need and don't want to wait anymore.
Alternatively, you could pay another person to take care of your parent if it's not serious health issue such as stroke which resulting in half paralyze. You could pay for a nurse to help take care while you're working. My parent also does this for taking care of my grandparent since they need to work and unable to take care while they're working.