Given the lot of work you've already done, I wouldn't be too fussy about more weeding. Just get some more crops in and deal with the weeds as and when they arrive. You can get virtually any crop you like in still this time of year, if you supplement your own efforts with plants from garden centres/car boot sales.
Grow some crops, eat them, with a bit of ongoing weed maintenance, enjoy what looks to be a hot Summer, and get a more balanced picture nearer the end of the season. Sometimes we can get too hung up about weeds in a manic way. There are predators to think about now, and lots of them.
I would be more fussy about weeds in beds prepared for perennial crops like asparagus and fruit bushes, but that's about it.
The weeds will blow in, or appear from nowhere in any case, however careful you are. You'll soon get to know the locals and who to give no leeway to. Check up which weeds you have that are propagated by seed and which weeds by minute root bits, that's important.