Any hours flown on SEP Class aeroplanes, with a military QFI or civil FI will count towards PPL issue, as will solo hours.
Air experience flying will not count.
So it is highly probable that all hours will count - as you have the logbooks, you should have no problem.
You will need to cover those PPL exercises which you didn't complete on the Flying Scholarship and UAS courses (e.g. solo navigation and precautionary landings), do the Q X-C and pass the PPL Skill Test once you've also passed all the PPL exams.
So, all in all, probably cheaper in your case to complete your training in the UK as, by the sound of it, you won't need to do much.