The battery appears to be a 3.7V 320mAh Model 402535
Appears to be only available from China (Alibaba etc..)
I ordered today, a pair from this
chinese ebay Seller
Hope to solder in myself, when it arrives..
(Also, the replacement batteries are 2 wire only, the original battery/connection has 3 wires. So there is some desoldering of bits of the old battery to new battery...There is
this thread with a video, which initially talks about this 3 wire stuff )
Have the same issue like you, it just powers down after ignition off without writing the file completely
and date/time settings are not saved.