What is the ruling on the chatting between a young man and his girlfriend?

Private chatting between the two sexes entails religious violations, and leads to prohibited attachment.

Should the father command his ten-year-old daughter to wear the Islamic dress?

The father should order his daughter to put on the Islamic dress once she turns ten, in order for her to get used to it.

Is it permissible for the person who wants to travel from the United Arab Emirates to Jordan during the day in Ramadan to break his fast before leaving his country; knowing that he had embarked on journey half an hour after dawn?

Praise be to Allah the Lord of the Worlds.

The person who made the intention to embark on journey after dawn must observe fast for that day, because it became an obligation on him before engaging on journey. However, if he experienced unbearable hardship while on travel, then he is permitted to break his fast, but he must make up for the missed day. And Allah The Almighty Knows Best.

Is it permissible to slaughter one animal as a sacrifice and an Aqeeqah (the sheep slaughtered on the seventh day from the child`s birth)?

It is impermissible to do so since each of them is slaughtered for a different reason.