I was gone for a week. Upon my return, the tv

If LED not coming on when you plug in red and pressing button blue then it's your power supply. you can order at shopjimmy.com or discount-merchant.com

Having browsed the user manual I wonder if you plugged in the Sony BDV T57 Home Theatre System while the Polaroid FLM-2632 tv was powered down via the optical cable .
Then powered up the Sony BDV T57 Home Theatre System first and then powered up the Polaroid FLM-2632 tv
Maybe the Polaroid FLM-2632 TV has to detect that the Sony BDV T57 Home Theatre System is connected and powered up when the Polaroid FLM-2632 powers up. To activate its digital audio out ????
The note part about only being available only under HDTV (cable/air) mode. Might be the cause of your hassle also ?


DIRECTLY FROM THE USER MANUAL
source from
http://tv.manualsonline.com/manuals/mfg/polaroid/polaroid_flm_flm2632.html
"
? Connecting to Audio Receiver:
Use an audio cable to connect the audio receiver's audio LINE IN jacks to LCD TV's
AUDIO OUT jacks. ? Connecting to Digital 5.1 Sound System:
METHOD A:
Use an optical cable to connect the audio amplifier's OPTICAL IN jacks to LCD TV's
OPTICAL OUT jacks.
METHOD B:
Use a coaxial cable to connect the audio amplifier's COAXIAL IN jacks to LCD TV's
COAXIAL OUT jacks.
Note: Above mentioned function is only available under HDTV (cable/air) mode.
? Connect all AC power sources, before turning on the power switch of the LCD TV or
other connected equipment.
? Press the button on the remote to turn on the LCD TV."

More than likely the lamp ballast power supply has gone bad. If its still under it's 1 year warranty they will fix it for free. If not a good service shop will probably charge you between $100 to 200 to fix.
Blessings,
A/V Media Tech Guy.

that is usally a 250V fuse, you can take this to radioshack they will match it up for you. dont shoot the helpers please rate!

Btw, I’m available to help over the phone in case u need at https://www.6ya.com/expert/edwy_1a56970cf1ea4620

Either one of two problems, the main power supply has an issue or has gone bad. 'Not supplying the correct voltages to your processing/controlling board' or that you are having problems with your processing/controlling board. My guess is the main power supply board.
A Good TV Service Shop would give you an idea of what the cost of repair should be. Call around.
Blessing,
A/V Media Tech Guy

Often when using a Sky box, one doesn't use the channel tuning feature of the Polaroid HDTV. Often one connects the Sky box to a component video input, and the Sky box does the tuning.

I hope that helps.
___________________________________________
Polaroid FLM-2632 Manual Download
Polaroid FLM-2632 Service Manual Download