Hi and welcome to JustAnswer,Thank you for the question and your patience. Should you still need assistance for information purposes only...Initially, bear with us; re-confirm and post back with the complete model number of the Blu-ray DVR.
Appreciate the additional information.
Have you tried another outlet?
With the description of "...turning on and off...", is there no indication of power when it has switched off by itself? ...no blinking light(s)? ...no clicking sound?
Bear with me, can you please try another outlet / without the power strip but this time with no speaker/speaker wires connected ?
Also, have you checked if the fan is spinning prior to the "...lights go on and off with power with a delay of 30 to 45 seconds..." ?