for cough and sorethroat, there are natural remedies, drink wild honey. It's must be wild honey (as in not processed honey), like yummy house or manukan. For manukan, get the ones with high active UMF content. To make it potent, just scoop a spoonful (DO NOT USE metal spoon), and suckle on it like a lolipop, do it once in the morning and at night. It works very well for me. It might be more expensive comparing to medicines but it's natural and in TCM terms, it falls into the mild category. Starfruit wise is pretty cooling (in TCM terms), i think can eat or drink but not too much.
Actually my mum say if no choice, bb can sleep on the bed that we sleep or even on a mattress on the floor (provided no pets walking around), cos when bb haven learn to turn around, they sleep in pretty much the same position.