NSEFAN and I visited this station today. We walked from Dinsdale; most of the route had pavement, though when we got to the industrial estate surrounding the airport itself we had to walk on the roads.. To those walking note that you have to enter the station from the airport side; the A road side has no entrance. While we were wondering if it was possible to cut through further north, in the end we did a large dog leg via the roads around the airport, as we weren't sure we wouldn't run into a dead end. We did have a quick look from the "other side" to see if it looked possible but I'm afraid the answer was inconclusive, so if you don't have time to waste trying potentially impossible routes, it's probably worth doing the dog leg.
While there is no eastbound service, the far platform IS still open, with no signs or barriers or any indication that you shouldn't be there. There ARE danger notices telling you not to wait on the footbridge, as others have said. When we were on it it didn't feel particularly rickety but that could be thanks to the scaffolding. There were a few places where the wooden boards were rotted quite substantially on the footbridge. What was in worse condition was the far platform itself, which had larger rot holes and felt a little precarious in places though it does still seem to be safe for now (most of the rot is still superficial).
We did try using the payphone quite comprehensively, attempting to receive calls (it didn't audibly ring, and you couldn't hear anything when you picked it up, though you could hang up and the person who phoned you would hear that you'd hung up), and make calls to a variety of numbers (normal, 0800, and something like "**2" which according to an old photograph I found when a certain sticker on the phone was in better condition, used to dial Northern Rail customer services). All were listed as being "blocked" on the phone's display, which claimed to only work with emergency numbers.
We also met a nice journalist there who gave a brief interview.
There are some decent photographs to get both of and from the footbridge and far platform. In addition, the only waiting shelter is on the far platform, and it was quite chilly when we were there; it isn't particularly shielded a location. For these reasons I would recommend anybody who wants to visit the station at some stage do so sooner rather than later, before they get around to closing the footbridge!