John, glad to see you're getting use out of your Trichromatic! You know you can always call us anytime you have questions; we're here for you!
1) For untethered shooting you can not change the naming of the files. However, upon import to Capture One you can use the naming function of the import tool to change the name to anything you'd like. Our support team can step you through that if you'd like. More advanced naming when shooting untethered is a popular feature request that I agree with 100% and I suspect you'll see something like that in the future, but it is not immediately forthcoming.
On a slightly related note, you can enter your copyright information into the digital back so it's already in the metadata when you get to Capture One.
2) When shooting from live view using either the ES or LS the capture rate is indeed slower and there are no settings that will significantly decrease the shot to shot time. That said, switching to Focal Plane for the shutter and switching to IIQ-S for the format will decrease the shot to shot time modestly. If you're looking for really rapid shooting IIQ-S plus focal plane shutter (no live view) will sustain the fastest clip and will do so steadily more-or-less indefinitely. Leaf shutter (no live view) will be second fastest. Live view will be slower than either.
(note you probably meant frames-per-minute [FPM], not frames per second [FPM]).