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You are definitely not alone. Neither the mini or full F come easily at the ger. . I agree with much of the above advice. Positioning the thumb more towards the headstock around the 2nd fret! Angling the fingers as suggested where tou are using more the the firmer side of the index on the high E and B string. The biggest reason you’re muting them all when you barre is because you flatten your fingers when you’re stretching for the 1st fret.
Suggestion is to push your elbow downwards, and slightly outwards (forward), so that your fingers automatically curve and you get added pressure on your fretting hand to help with the barre. I can’t stress enough how important it is to stretch angethe elbow downwards when barring. The added pressure is what will keep Spanish pressure on the barre. Fret the high E and B string as close to the fret, while turning a,ightly towards the headstock. This adds pressure to the fingers. You may your barring finger down. You may have to really move your body to allow for the elbow to push down. I push it out forward slightly, because this adds pressure.
The only other advice is to keep practicing, remove your fingers after every try and replace them. Before removing your fingers, really study your arm and wrist to see where the problems are, such as muted strings. Make corrections next time. When you finally can play each string cleanly, and the barre sound clean, then again stop and study the positioning of your hand and fingers.
For practice with full barre chords, I play 7 Spanish Angels, by Ray Charles and sung by Willie Nelson ,to practice barre chords, but it has more than just the full F, so wait until you learn them.