Is my Slingbox Solo fried?
Maybe. What you described doesn't sound good.
If a hard reset doesn't help, check the power supply. Here are some related threads that include the power supply specs and where you might find another one:
Sling sells them too for $20 bucks:
Before you go off and pick up a new PS, give the hard reset one more try and be sure to follow the instructions precisely.
Beyond hard reset and a new PS, you might be out of luck. No power light sounds like a hardware problem to me. If your Solo is still under the 1-year hardware warranty you should probably give Sling a call. If not, they can fix it out-of-warranty for a fee. It's not cheap, but it's far less expensive than buying a new one.