Goood morning, Bill and welcome to JustAnswer!. This is Ed.
I think the simplest explanation would be that your transmission shifter cable has come loose from its mooring at one end or the other. Having the car want to drive in reverse when you've selected something forward suggests the transmission manual valve isn't being positioned where it should be. The lack of engine starting that began at the same time would probably be a neutral safety effect -- the trans isn't in a shift position that will allow starter operation. Having both symptoms show up at the same time almost clinches that your shifter has issues.
But where? There will be a connection below the floor shift console, forward of the shifter handle. It would be my first choice because it's an adjustable connection, using a push-pin type mechanism to capture the serrated-tooth cable in the mounting. If it's come loose, your shifter cable will float mostly-free, with very little actual opportunity to physically change gears.
OR it might be under the hood, at the point where the main cable housing secures to its mounting bracket.
A sheared or snapped inner cable might also explain what's happened, but isn't something that happens often. Cable breaks usually happen if you've been fighting a shifter that's been very, very hard to operate for a long time as the inner cable frays and drags in the housing. Over time, you'd lose more and more of the fine steel cable filaments that wrap together to make the main unit until it finally gives up and snaps. If this sounds familiar, you almost certainly need a new cable.