Usual period following deportation is 5 or 10 years, depending on the actual grounds they filed it all under. It will also automatically disqualify you from entering ~75 other countries under a visa waiver.

If you want to visit any of those countries within that time, even if it's a visa waiver country to you, in all those cases you will need to apply for a visa if you want to be relatively sure you'll be admitted. Oddly, Japan will probably be the easiest one to get an applied visa for as you'll be able to explain to people that might care that your tour organiser only got you the first part of the visa process (as it was at the time) completed and you didn't realise you still had to apply at a local embassy for the actual visa blah blah blah. No doubt an interview at the legation location and that will necessitate a lot of apologies for causing them trouble and admitting it was your mistake and then a few more apologies for good measure. Take the blame yourself. Don't try and pin it on the Japanese tour guide or UA, regardless of what you think or was actually the case. Given it was, by your account here, a procedural cock up I'd give it a slightly better than 50/50 on the chance for success.