European means that it can only be exercised at expiry. You can trade in and out of it any time you like.
Don't be too sure of this. If HSI option goes deep ITM there can be NO bids/offers. None. You can't take your profit.
Well, yeah, if you wanna nitpick. I was making a general statement. You can always hedge with the futures if you can't close out the option.
I haven't looked at the contract specs, but presumably the options either settle into cash (quarterly contracts) or settle into the futures contract (serial contracts). So the answer, yes, you shouldn't have any problems holding to expiry. Don't know what mhi is.