I had I think the same model (blue/white) Rome 390.
1. The toestrap would flip off, I think this was because it never fit my boot correctly and less because it was loosening.
2. Yes the forward lean adjuster on the highback occasionally turn unless I tighten it.
3. My boot would occasionally ride up on the outer ridge of the binding by the lateral toestrap.
In the end, I traded them in for a pair of Burton CO2 that were on hyper-discount and I like those a lot better.
Did you try contacting the Rome and telling them this problem?
And its not that it would flip off.
The strap disengages its self while riding.