If going from your city to this place is regarded as travelling according to the people`s customs, then it is not permissible for you to go there without a Mahram. If it is not regarded as travelling according to custom then there is nothing wrong with you going there without a Mahram.

It is prohibited to remove any hair from the eyebrows, whether all the hair is removed by shaving, or some of it is removed by cutting. Anything apart from that is permissible, such as removing hair from the arms and legs, and the area between the eyebrows.

When a baby is born, it is recommended to do tahnik for the baby and to pray for him. It is permissible to name the child on the first day or on the seventh. It is recommended to offer aqiqah. It is sunnah to give adhan into the baby’s right ear.

Ghusl counts as wudu if this ghusl was required in order to remove major impurity as in the case of janabah or following menses or nifas.