When browsing the guide, is there a way to skip forward and back by days or hours?
Two options: You can use the Rewind and Fast-Forward buttons to skip back and forward by 30 minutes, or you can hit the Enter button to bring up an option screen that will let you jump to a specific date and time, along with other options.
When you hit Record while in the guide, is there supposed to be some indication that you've selected that program for recording?
When you have a show selected in the Guide, pressing the Record button will bring up a screen that will let you record that show, select recording options, or set up a Season Pass for the show. If the show is already scheduled to record, the screen will also let you know this and access the options or cancel the recording. Unfortunately, scheduled shows are not marked directly in the Guide; people have requested this option before.
Where is the list of scheduled recordings?
This is called the To Do List. As GoHokies! mentioned, it's under the Find Programs area of the Main Menu, or you can press the TiVo button, then the 2 button to go directly to it.
Is there an explanation of symbols that appear on the Now Playing screen? Yellow circle, etc.
GoHokies! already covered this quite well, but I'll go over it just for the heck of it (and add a few more).
Red dot = the show is currently being recorded
(no icon) = the show's recording is complete and it is more than 24 hours away from being eligible for deletion
Green dot = the show is marked as "Keep Until I Delete" and will stay there until you either delete it or change its Keep Until status
Yellow dot = the show is less than 24 hours away from being eligible for deletion
Yellow dot with exclamation point = the show is eligible for deletion, but will stick around until the space its using is really needed (previously deleted shows and Suggestions get deleted first)
TiVo dot = the show was recorded as a Suggestion and can be deleted at any time if space is needed for user scheduled recordings
Folder icon = only if Grouping is on; a group of shows that fall under the same title or were recorded under the same Wishlist, enter it and you'll see the same icons as above; Suggestions and HD recordings also have their own dedicated folders and a show can appear in more than one folder
Folder icon with red dot = a show within that folder is currently being recorded