I had/have the same issue with my 2712, also an ebay purchase. to start when turned on would start to boot then a electrical arc could be heard and boot would restart. found carbon trace on power supply board. i cleaned the trace then removed the board <not a real simple task >. i replaced the caps near the offending arc over and inspected the board quite a few caps showed leakage <puke on the board>spent some time cleaning corrosion from board <some had invaded surrounding components <SCARY> . since i had a supply of lytic caps <and no lcr or esr>, i replaced all caps on the board.
That was when i got to the <boot and freeze> with no response at the keyboard. replaced one of the lithium batterys that showed less than 1 volt, replacement showed immediate voltage slump <more bad caps>. finally got to boot and performed a file cleanup. It now boots though not reliably and shows some loopback errors. Still a repair in progress. but occupys my spare, spare time
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Also i have had problems with the 2 phased<?> outputs from power supply could never see on scope what the manual is looking for.
I am just a hobbyist but do have to cut coaxial stubs and phasing lines on occasion with this working should get me closer than the sig gennerator/receiver on a tee that i have been using. i am really rambling now!!! but anyone out there with one of these as a project keep posting your findings !!!