You'll have your inventory, don't worry! Anything your character was physically carrying will still be there, but anything past that - such as your BIAS, for example - might be... elsewhere. What's an island adventure without a scavenger hunt? ;) 'How' you'll get those back will be better explained in the mission write-up.

The wish spell rock is also accounted for. However, due to its unpredictable nature, we'd like to work out exactly what it does with you when the time comes.