I started applying in January. You're right, I did make the mistake of waiting to hear back from the first interview before seriously continuing the job hunt. I won't make that mistake again! I'm currently applying to everything I feel is reasonable. It's just so time-consuming, even doing it online... I feel like my whole days are consumed. (Which is as it should be, I guess. Make job-hunting your full-time job, right?) I'm hoping to have at least 50 applications done by the end of this week. (That's including the ones I've already applied to.) My goal is to spend at least 5-6 hours a day working on job-hunting. More if possible.
If I could make a suggestion? How about setting yourself a goal of how many you want to do a day or break it down by how many you want to do in the mornings and evenings (even just a set amount of time a day). What if you did 2 or 3 in the morning (and save the others you're interested in that you come across) and then step away to do other things and decompress then come back in the afternoon to do another 2 or 3 applications. Also, what if you start saving your responses on a word doc that you find yourself putting on every application? Just things like previous job experience/responsibilities (which find frustrating because it's all on my CV!) then you can just copy and paste across and it will save you time in the long run.
5 to 6 hours is a LOT of time to spend per day applying. It's great to spend a lot of time looking for and applying to jobs....but for your own sanity, I would not recommend 5 or 6 hours a day. I'd suggest maybe spending one good day compiling app the jobs you can see and ordering them on a spreadsheet with links to the role/listing and application closure date (then you also know what you have/haven;t applied for yet). Maybe do that once a week or every other week to keep the list fresh. Then, the rest of the days, only apply to a handful of roles a day (as mentioned above). You need to find a happy medium so you don't get too overloaded and stressed out as that won't help you think clearly when doing these applications. As you've only been looking for a month and a bit, I certainly wouldn't be hard on yourself. If you let this stress you out and get to you now, if you find Brexit or lack of UK work experience is making it more difficult to get a job sooner rather than later, you are absolutely going to burn yourself out and stress yourself into a very low place mentally (and that won't help). I know it's easier said than done when telling somebody not to stress or worry, but seriously. Everybody here will vouch that looking since January honestly is no poor reflection on you that makes you undesirable. Sometimes it's that people aren't even properly back from their holidays to look through their recruiting until the 2nd and 3rd weeks of Jan. Also, businesses are getting closer to "end of the financial year" so are using up the rest of their budgets and seeing where the gaps in their employment are so it's likely you'll start seeing even more roles being listed as people work out their FY2019 budget out.
Yes, I think you're right. At first I was briefly explaining the situation in cover letters, but now I'm just saying "fully licenced to drive in the UK." (I haven't actually driven here yet, though. I'm not worried about driving on the left; used to do that in Japan. But man... the roundabout road system is entirely different from the road system in the US or Japan. My husband drives a car which belongs to his mother, and I'm not yet insured to drive it, so I've not had the chance to practice... ugh, another hurdle to jump!)
I don't honestly think you need to address it at all until you get somebody to speak to you about an interview if I'm honest. Yes you are omitting the truth a bit on an application but it's not illegal and you don't intend on wasting somebody's time. If a recruiter phones you, just mention to them that you put xyz on the application but that's because you are fully licensed to drive in the UK and will be getting the UK-specific license as soon as you can swap your Japanese license across (but you're unable to at the moment because of timelines set by the government). I would try to get insured and get out on the roads ASAP. From my experience, the longer I put it off, the harder it became to just get out and do it.