Hi again, I'm currently working on Beethoven's Sonatine in F minor WoO 47/2, and I have some doubts about how should I play trills.
I did a quick research and for what I read, there's not just one way to play them, nevertheless, I'd like to get your opinion.
Here's a pic of the passages.

1)Is it ok to play either F-G-F and G-F-G-F? I think the second option sounds better, but I'm not sure if it's actually correct.
2)I was doing just fine until this point, but for some reason, I can't manage to get through the trills part successfully! So I'd appreciate any advices!
I have a teacher but I won't have any lessons for a couple of days now, so I'd like to advance on my own as much as I can.
And by the way, I have a VERY important question,
HOW should I approach a new piece?Meaning, how can I "analyze" it
properly? My teacher gave me a brief introduction into the topic, but I'd like to read about it anyways, since my "piano year" has just started. And this year, I'm trying a lot harder than the last one, in which I travelled and couldn't practice properly, so here I am!
Again, I want you to know that ANY advice is really appreciated, since I don't have friends that play any instruments I have to rely on these forums!

Thanks for passing by!
Best Regards from Paraguay,
Jdmpy.