What would cause all Dash lights to remain on without key in ignition?

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Wife had to have the car towed from work because it would not start. Her friend tried jumping it but still no luck. When I got home, I saw all the dash lights were on without the key in the ignition. When you turn the key, it dose not crank, click, nothing. Ignition fuse was blown, but I replaced that and the lights are still on. Could the ignition switch cause this to happen? There is also an aftermarket remote start system that we don't use/wasn't connected to battery. Was originally thinking that may be the problem, but don't want to pull all of that apart if it is not the cause.