Welcome!
The car does look nice. As others said, some more frame photos would be beneficial. If the balance of the car including the frame looks as good as what is shown, you've at least found one that was well stored/maintained.
I know you mentioned being overseas, so this could prove difficult, but I would always advise seeing the car in person yourself before buying it. If that can't be done for whatever reason, find someone to look at it for you. This person needs to have two qualifications: you trust him or her completely with knowing how YOU make decisions, and the person needs to be DeLorean knowledgable and not just generic car knowledgable.
A couple comments on this one:
- Headliner looks a bit odd in colour, too light or almost tan in some ways. Most noticeable on the driver's side. Get more photos or ask what the story is.
- Find out if the safety recalls were done on this car, specifically the throttle deice recall and the front end recall.
- As the ad mentioned, expect to buy new rubber for the wheels and not to use 33 year old NCTs.
- The car has the original plastic coolant reservoir and you may elect to replace it as others often do (with a metal one).
- Wouldn't hurt to get some photos of the fuse and relay area behind the passenger seat and perhaps the battery compartment as well. Throw in other areas like the inside of the glovebox, cubby hole, under the trunk carpet including the spare tire area and under it showing the fuel tank as well as the brake reservoir (these photos might be more important for you if you don't see it in person in advance).
I get somewhat cautious of ads using the word perfect or others similar to it and this one used a few of them. Not saying it isn't a great car, but very few things in my estimation are ever justifiably referred to as perfect on a DeLorean. Just double check the aspects of the car mentioned as being flawless or perfect or completely functional as designed. Your man on the ground can do this in person by testing all of these perfectly running features when he goes to see it.