I am on probation for a misdemeanour and will be traveling to England, Wales, Ireland and Scotland this August. I have permission to travel from the PO. Will I need permission from each of the countries to enter?

Yes, permission to travel from PO, passport and visa to enter each country

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Originally Posted by Fr_Chuck

Yes, permission to travel from PO, passport and visa to enter each country

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With the exception if Ireland, it's all in the UK. Does OP need visas for each country, or just an Ireland and a UK visa?

There's one UK wide visa as the individual nations do not issue their own.
This excludes Southern Ireland as that is a separate country.