I don't know if it's for you.
However, what I've discovered about life and jobs is that generally people misjudge what's required and the difficulty level and are often surprised at how easy things turn out once they jump in the deep end, so to speak.
You don't have anything to lose by trying. If it doesn't work out, then it doesn't work out and you stop doing it. If you only get in a week or two, well, that's a week or two more of "employment endurance" you've practiced. If you can only manage another few days of training, you'll've still gained something. If the stars align and you can clock in day in and day out for a longer period of time, and maybe even go on a few trips, you will benefit.
It's also entirely possible that sometime during training they'll let you go.
The point is, you don't know if you can handle it, and you should seriously consider continuing on until you're absolutely certain that you cannot proceed. There's always an exit, you've got the time, and if nothing else you could even consider this a form of employment therapy. If you stay at each job a little longer, or take a little harder of a job than the last one, you'll eventually work your way up to the point where you 1) can hold onto a suitable job and 2) you'll have so much experience in different jobs, different fields, different industries that you'll have a very good idea of what you can and can't do, or are willing or unwilling to do.
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I have no idea why your father is counseling you against it. However, if one of my children had the difficulties you have described, and was considering a job that took them far away from home, my primary concern would be how can I best help them if they are thousands of miles away and they became unable to ask for help, and unable to return to home by themselves? They might be in a bad situation halfway through a week long trip, and if they aren't answering their phone because they don't want to talk about it, but also don't feel like figuring out how to change their plane ticket, or spend the money to get a new one home, it might be days before I could help them resolve the situation, or even know there's a problem.
Again, I don't know your parents, and I don't know enough about the issues you face, and I'm probably blowing things way out of proportion here, but as a parent who wants to protect my children, that's what comes to mind.
So if you do want to do this, always, always, always have an exit plan and a concrete set of triggers that will tell you when you should enact that plan. I don't know what that looks like for you and for this job. For the exit plan, make sure you understand what your ticket options are - you'll always have a round trip ticket from your employer, can you change the return leg and move it up? How are you going to get to the airport? Do you need to carry an emergency $50 visa card for a taxi/uber/etc?
What triggers might you consider? How can you tell, of yourself, that you've become lost? Perhaps you find a friend you can text daily, and you have them text you "go home" if they detect a problem. It'd have to be someone you can trust to judge rightly - including knowing when you're just in a temporary lull and giving you encouragement to stick it out. Perhaps it's as simple as noticing when you don't feel like eating dinner, or significant (multi-day) insomnia. Maybe you commit to doing DDP every night you're on the trip, and if you don't do it three days in a row it suggests you're struggling.
