Not typically. It is always best to contact a criminal defense attorney in your jurisdiction and give them the full list of particular facts that surround your particular set of circumstances. Ask them about the state that you are leaving the country from and re-entering it into.
It's kind of a crap shoot on your part. You may get stopped on your way out. You're more likely to get stopped coming back through customs. But any law enforcement officer that conducts a warrants check will have the authority to detain you. Best to handle the VOP before you leave.
You might. It depends on whether or not customs runs a background check. Imagine how you'd feel if you couldn't come back in because of the warrant. If this is your first violation, and you have a reasonable explanation, the Judge will probably reinstate your probation. You should consult with an attorney and fix this problem before trying to leave the country. Because leaving the country may be seen by the Judge as a blatant violation of your probation, and will just make matters worse in the long run.
The answers given by this attorney are for educational and information purposes only and do not constitute legal advice, nor are they intended to create attorney/client relationship. You should seek legal counsel in your area to get legal advice concerning your particular circumstances.