In nearly all cases this will not work without a clear view of the southern sky from a window withOUT metal screens nor without metalized heat reflective coatings on the glass. The satellite signal travels a long distance to get to your window and probably won't be able to get through to your closet. However, if you are in a city where we have terrestrial repeaters then the terrestrial signal might be able to get to your closet but that too would be a surprise. I see two solutions: 1) If you have a window that faces south, then you can use a 50ft extension cable. SiriusXM sells 50ft amplified cables that will allow you to extend the antenna from a window location to the tuner that you have located in the closet. 50ft cables are available here: https://shop.siriusxm.com/50ft-home-antenna-extension.html Or option 2) you can use a GDI-SXTTR3 internet radio to stream SiriusXM from your Wi-Fi. With the internet radio you would have any satellite or terrestrial reception issues. TTR3 are available here: https://shop.siriusxm.com/SiriusXM-Wi-Fi-Sound-Station

Some people have had acceptable results with the vehicle antenna used at home but the home antenna allows for some easier mounting options. For best performance the car antenna is designed to be mounted over a metal ground plate extending about 6 in all directions around the antenna. Often this is not available at home so the home antenna is optimized to not need this. We sell most radios in home or car configurations. You asked about the antenna but a home kit will include a home antenna, an AC power supply and a home dock that will hold the radio upright stably on a desktop. The car version needs to be mounted to your dash or vent which aren't available at home. Home antennas are sold separately here: https://www.bestbuy.com/site/siriusxm-home-antenna-for-siriusxm-xm-and-sirius-satellite-radios-black/6363165.p?skuId=6363165

Regardless of which antenna you use at home, both antenna require a clear view of the southern sky and almost always need to be mounted outside of your home because the Satellite signal can be completely blocked by metal tinting or metal screens in the window. Also, foliage on bushes or trees will also block the signal so you might get good signal in the winter and then loose it in spring and summer if there are trees or bushes in the way. More details are available here: https://shop.siriusxm.com/installation/siriusxm-indoor-clam-shell-antenna-south.html

Yes, but your antenna needs to be mounted on the roof outside of your RV so special care is required to ensure you maintain a water tight roof.

Most likely the $41.99 install should be sufficient. However you should discuss with the Geek squad to understand all the steps involved for the installation. Especially if your vehicle stereo does NOT have an Aux Input: If no Aux input is available you may also want to consider installing the optional FM Direct Adapter (Model #FMDA25) as the FM direct adapter will ensure you have no interference over FM.