Yes and Yes and Yes....and depending on the speed of the media converters ... fiber is at the speed of light ... how fast do you want to go?
1 gig or 10 gig or 100 gig....the fiber is just a media...yes, the faster, the cleaner the fiber has to be...but it still goes back to the media converters.
The distances you are talking about are so short it shouldn't make a big difference on speed.
