As I understand it, and I'm currently membership secretary at my club, if your membership of a club lapsed longer than three years ago EA won't demand the £10 re-registration fee, though they might still want you to fill out the form and get an email from your old club. I would recommend calling the EA helpline: I once sent an email to them about some issue and they took more than a week to reply; but the helpline has been very useful and much more quickly on more than one occasion. It's also correct that the fee is going up to £14 from 1 April next year, but again as I understand it there is no word yet on whether it will go up by £1 a year until about 2020, as has been mooted.
I would say no, it's not possible. In order to get to 19 minutes or faster, you must give up all forms of sex, including onanism. It'll never happen if you keep spilling those bodily fluids. Either that, or make your ejaculation PB around 15 to 20 seconds.
I was going to mention parkrun. It can, of course, depend on the terrain, but they actively encourage people with buggies to join in. It's a little annoying, naturally, when some speed merchant goes past you with one of these contraptions (and I'm a sub-20 minute runner, so not a total slouch), but it takes all sorts.
Double-plus good for what Muttley says. You're entering a bit of unknown here, but what it will do is give you a good idea of what you can cope with - and you'll have a PB you can beat next time. Good luck.