I am a composer who needs a Premier user to sync graphics to my original compositions

you can add markers to your audio track in the timeline using the audio waveforms as a guide.  You can also just hit "m" to add the marker as your timeline is playing (m is the shortcut on my system for add marker).  I think there are programs that will do what you want, but I don't know of that capability in Premiere and frankly precisely matching hits in music is not a particularly creative solution.  It's known as "mickey mousing" referencing the way animation in early mickey mouse cartoons matched the music in a very mechanical fashion

If you've got a very mechanical piece of music and know the expact bpm, you can change the default duration of graphics and imported stills to match your desired interval..

Hello,

Welcome to the Adobe boards! While you may find someone on here to help you, these boards are mostly for tech support and assistance with program features. If you'd like to hire an editor or motion graphics designer (and I would say this job calls for the latter, and possibly After Effects instead of Premiere) then you will get a better response on a jobs board. If you're on Facebook there are groups like I NEED AN EDITOR where you can post jobs. 

HTH,

WM