How to check and prove that the phone had been used before purchase

We bought a brand new Z Play Droid at Best buy. When I put it to charge it was showing 98% battery which I found to be odd - means that they were shipped with fully charged battery. When I looked at the back , the sticker (protecting back glass) was missing and actually someone attached it to the wood like back cover. On the same day we went back to BB asking for a replacement and were asked to pay restocking fee. We never turned the phone on, but when the rep looked at the phone he said
" how do you know the battery percentage if you never turned it on?
They usually come randomly charged.
Well, this phone shows that it was turned on."
I told him that , the fact that his test shows it was on doesn't imply it was us who used it. So, we walked back with the phone.
Now I see that the USB data connection w PC is unstable - pops on and off all the time when Attached.
So, my question is
Can I through some special App on PC or Phone look up when was the phone powered on or used for the very first time and if not , can I see specific logs in ADB mode?
I want that evidence on me when I go back to the store one of these days.

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