Nice Yannis! Welcome to ES-Land ... it's nice ... maybe stick around.
I've the same guitar - just in olive drab with a bigsby, so I know exactly what you're talking about with this one. The MHS humbuckers are really really great sounding pickups, the '64 reissue has a nice neck carve (not super slim, but not too chunky - a nice C shape) and they're getting better and better at making them look like the vintage models (apart from the pickup covers).
I was just thinking that your reissue probably looks like my old beater 345 when it was new in '62!
Re: back panel/working on electronics...
Yeah ... it's a pain. Thankfully Gibson started putting a cut-out in the centre block - initially to fit the varitone choke (a big hunk of metal!) and then they realised that if they made the cut out a little bigger they could fit the wiring harness through there instead of the f-holes. The reissues have replicated that (at least on mine the cut out and general 'internal layout' were the same on the reissue as on the '62). So at least it's not quite as bad if you ever need to work on it. If you do though Yannis ... just a heads up. For some reason the wiring harness length on modern varitone Gibsons seems to be quite short - it's basically 'just enough' to get it in. I know when I had the CS ES355 and I had the pickups changed, the technician working on it had a real pain trying to get it out because of how Gibson had put it together - and that's someone who's well able to do that sort of thing easily on vintage guitars.