First glance (mostly 'obvious' stuff):
According to the serial #, that car was originally a Lightning Yellow GT-R V-spec. I don't see any evidence of yellow paint under the black, so I'd be looking REAL close for some welding evidence.
Brake lines along firewall aren't in their original configuration, so that concerns me too - front clip replacement?
Paint (looks to be a respray, and not a good one), bad weatherstrip, rear package shelf (looks like water damage from bad weatherstrip), front lip is shagged, corrosion at the CAS, brittle coil connectors, lots of janky s*** under the hood.
That motor's been out (more than once, likely), so I'd check the serial # and see if it matches.
Grease (or brake fluid) at the front spindle - Bad ball joints or drive axles... wait - where the hell are the front drive axles????
WTF did they do to those front tires? Looking further, it looks like a front tension rod snapped, sending the tire / wheel backwards into the fender - that's ugly, and could have been a sad ending. That would explain the gouged / shredded tire tread, and bits of rubber flung up into the wheelwell.
My biggest concern is the corrosion - It's bad. Not just bad, but possibly "parts car" status.
Rust (inner and outer rear wheelwells, with evidence of a really poor repair, rust in the trunk lid, filler neck, front AND rear strut towers (this is a critical area of structural integrity), battery tray, tension rod mounting surface.
I hope you didn't spend a lot on her - I'd be afraid to drive it without some serious unibody repair. Problem is, you live in a climate almost as bad as where the car came from, so the rust isn't going to stop.
These two areas are a HUGE concern: