It is an old product.
BC10 appears to have been a common DRO model, sold under many brands.
See if any of these three look like your one:
https://www.precisionmatthews.com/wp-content/uploads/2017/04/Mill-Lathe-DRO-use-manual.pdf
https://www.hobby-machinist.com/threads/pm-dro-manual.97090/
The Meister Top10 one looks to have most potential.
For SDM mode, see this post from 2008 showing how old your system could be:
https://www.homemodelenginemachinist.com/threads/making-the-valve-block-and-valve-guides-for-the-webster.1160/
Note that the post mentions that Easson displays look and feel similar, so search for their manuals as well.
This one from Cheater has SDM mode:
https://www.chesterhobbystore.com/wp-content/uploads/2020/12/Quark-DRO-Manual.pdf
Something here about entering setup mode:
https://www.hobby-machinist.com/threads/dro-problem.58744/
Most of the scales are compatible with most of the heads. The TouchDRO site has extensive information on scale operation and pin outs. Hence, at the worst, you might only have to replace the head and would be able to re-use the old scales.
I am sorry the above is a bit of a scattergun approach, but something useful might appear out of the mess.