A:AnswerThe Mini doesn't have a hard drive, so you can't record to it. You can use it to access recordings on the DVR or to set up recordings for the DVR.
A:AnswerYes, this does work with the Premiere. According to TiVo's online specifications it works with: TiVo BOLT, TiVo Roamio and Roamio Plus or Pro, TiVo Premiere 4 and XL4/Elite, TiVo Roamio OTA
A:AnswerIf it's not one of the listed compatible devices (Connects to TiVo Roamio OTA, Roamio, Roamio Plus, Roamio Pro, Premiere 4 or an XL4/Elite device), then i would say no. Best bet would be to contact tivo directly with the exact model of the unit you have and they can confirm compatibility with the mini.
A:AnswerI believe the answer is yes. You'd need to purchase a special set of accessory cables from either Tivo or Weaknees. On Tivo the cables are referred to as the A/V Breakout Cable Kit. There is a single connector (looks like a 3.5 MM connector but it's not) that plugs into the Tivo Mini, then the other ends allow you to connect with either composite (red, white, yellow) and/or component plugs (red/green/blue),
A:AnswerNo. This Mini unit Requires a Tivo main unit to function. As far as I know, Tivo's are not compatible with satellite service unless purchased/rented from the satellite company.