I think that the biggest turn-off for new gardeners is the more experienced retired ones whose plots are invariably immaculate and new gardeners tend to be offered plots that a previous tenant, for whatever reason, wasn't able to keep on top of and so they inherit more weeds than anything else, so the new gardener looks at their own mess and compares it with the old boy's plots and that's where the problems are... remember; they have all the time in the world to weed and plant and aren't likely to be doing it all within a couple of days at a weekend.
From what you've said about how much you've done already I think you're doing really well.
Take photographs of what you are doing and again when you are finished, then you can look back at the progress you have made.
As others have said, once you've cleared an area if you aren't going to plant into it straight away then cover it up. One thing I learned when I got my allotment is don't expect a cleared space to stay cleared for very long if you don't. This includes when you've sown direct into the ground and disturbed seedlings start to germinate - new gardeners often don't know the difference between what they are expecting to see and what actually comes up and so leave them all alone and the ground becomes weedy again.
You'll soon learn the differences between weed seedlings and veg seedlings so don't be disheartened if it is all a bit overwhelming at the moment, just do a bit at at time like others have said and soon you'll be well on your way.
Also, don't get bogged down with having to get such-and-such in the ground at a particular time - if you can't do it this year because the ground isn't ready then there's always next year
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