It is permissible for a man to sleep beside his wife in Ramadan. In fact, it is permissible for a man to be intimate with his wife when he is fasting, so long as no intercourse or ejaculation takes place.

There is nothing wrong with putting oil on the hair during the day in Ramadan and that does not affect the fast.

Burping does not break the fast, but if some food comes out with it, then it must be spat out. If it is swallowed deliberately, then this breaks the fast.

It is permissible to shower while fasting and that does not affect the fast.

Applying kohl and cream while fasting does not break the fast. It is better not to use kohl during the day when fasting.

It is permissible to treat your toothache and apply paste and the like to the gums whilst fasting, but that is subject to the condition that you do not swallow it.

Vicks does not have any effect on the fast, because it has no substance.