second, filled in information about children in a box where it was not needed; my children won't be accompanying me, anyway, and i didn't submit their passports, which is clear that they won't accompany me.
but will these mistakes pose any problems?

ESC
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Well surely you haven't made a mistake then?didn't check (as in didn't put a cross in) the question that asks if i "have ever applied at home office to remain in the uk" - well, i have never applied to remain in the uk, but i didn't check it.