Seriously, OP, I still think you're stressing unnecessarily - correcting finger spacing is easy - the lolly stick idea sounds good but just lots of reminders, and massive praise from you when she remembers them, obviously. :)
Re letter formation, I did sit down with my ds and show him how to do the letters correctly, as I did with my older two - as above, loads of free materials online/in cheap 'learning' books. No need for a tutor, unless you're v busy of course. If your dd is forming her letters wrong (as opposed to mirror writing, which as above, will correct in time anyway), then yes, she does need to learn how to do it right. FWIW, none of mine were taught this at school, though - I think teachers are just too busy to do this usually, or certainly to give the kind of on-to-one focus needed - so I wouldn't worry your dd's school is exceptionally poor for not having done this. It took me few weeks of maybe 10 or 20 mins a night to get it right - I found grouping similar letters made it much easier, eg c, o, a, d, g, q (all start the same), r, n, m, h, b, p (ditto), v, u, ww, y (ditto) - makes it v quick and easy. A few lines of practice, with revision each night and star chart = easy job done.
I think you should feel v pleased with your dd's desire to write lots - wish my ds was more of a story writer like your dd. It's great she enjoys it and displays a good vocab. The mirror writing will almost certainly self-correct - the spelling will improve over time.
Really sounds totally - nothing to worry about in year 1 at all. :)