A:AnswerYes it can. Your stereo has a Phono Input on the rear. You would connect the Included RCA Cable from the Turntable to the Phono Inputs on the back of your stereo. You then slide the selector switch to "Phono" on the rear of the Turntable.
A:AnswerI have the turntable connected to the phono inputs on my AV amp. You'll need some sort of amplifier in line to get sound out of the record player, it's output is the typical RCA stereo/2 channel red-white plugs.
A:AnswerI connected mine to my Samsung soundbar via an aux cord with ease and the sound quality is great. I would recommend trying that for starters if you have a system that is compatible.
A:AnswerYes, the turntable has a cable that has RCA plugs at the end, and a switch on the turntable allows you to select either low-level direct from the cartridge, or a high-level from a built-in preamp. It should work just fine for you. I would expect that AUX inputs would use the second (high level) option.
A:AnswerBecause it has a preamp, the AT LP60X has both phono and line output jacks. I believe that you would use the line output to connect to the Bose system.