If your one string sounds fuzzy in just one place, then I'm going to suggest that you might one one fret wire that is a little bit high(that would be the wire at the top of the 9th fret/bottom of the 10th fret) That would cause fret buzz. If you buzzed on avery fret above the 9th, then it would most likely be a neck alignment problem and might need a small truss rod adjustment.
I'm a bit "fuzzy" (LOL) on the "G" chord thing you describe, it sounds more like you're saying the "G" string open is OK but if you play any fret on the "G" string it buzzes. So....then I think maybe you do have a bit of a neck problem.
It could also just be a tuning problem. If you are not using a digital tuner and ensuring you are tuning to the proper pitch, you could be tuning low and that makes the strings loose, which can cause buzzing.
I have small hands for a boy/man and if your guitar is OK then you should have no difficulties as long as your fingers are aligned straight over the frets.
If you take your guitar to a music store, they should check it out for you and advise you what might be wrong. ( most stores should do that for you for free as part of good customer service.) They can tune it easily and see if there are any weird things going on.
As far as the fractions on the TABS ( I despise TABS by the way, I think (along with many experienced players) they are a somewhat confusing and inaccurate way of learning to play guitar.)
Those fractions "may" indicate a timing change in the song. but don't quote me on that.
I have never used tabs in my life. and even after I've played for over 40 yrs, I really can't make heads nor tails about how to use them.
TABS SUCK.
they are really only useful if you've heard the song and just need to know the fingering. Tabs don't normally indicate timing at all. you never see how long each note should be played, like true musical notation does.
But as far as not knowing how to play that certain song, if you have the song to listen to, then you can listen to the song and follow along on the tab and see how the timing changes
Good Luck