Welcome to CC. The on board price is about $23-25/day. The planner price is usually discounted from the on board price, so if you see the price in the planner add the discount back in and you get the on board price.
Use the drop down menu on the main RCI page here at CC and choose any of the Radiance class ships. Set the app to the current sailing (not yours) and see what activities appeal to you.
Other than carpet and perhaps a new sofa, cabins are almost never updated during dry dock. Sometimes, if the cabin needs it, they do that (the carpet) while she is still in service.
Welcome to CC and coming out of lurk mode.
All equipment is supplied. Look at the current sailing in the app to see the times.
For those wondering: mods move threads way after the fact into their proper section of CC.
All ships require a dry dock every 5 years till 20 years old, then twice in 5 years after. Combine that with a sizable break in her schedule (at least three weeks).