fasting

Breaking an oath

Q: A person says "If I commit such and such a sin, I will fast every Monday and Thursday". The person committed the sin so started fasting. Does the option of paying kaffarah for breaking an oath still remain or has it closed because he has already started fasting?

Fasting while travelling

Q:

1. I have read that one can only miss his fast if one is a traveller at sehri time. What will be the ruling of an individual who is travelling abroad but his  light is at afternoon time (meaning he is still at home at sehri time)?

2. If that person needs to fast, how will he do Iftar because different countries have different iftar times.

3. Also, will putting Vicks under the nose and sniffing it throurg out the day break one's fast? I have read that it doesn't because it does not have a body. Will that have the same ruling if one was to sniff Vicks from a tissue (i.e. putting some vicks on a tissue and then inhaling the subtance form the tissue?