Should I 'Restore Defaults'?

Unfortunately, I don't "get it" from your description. 

All I can guess is that the watch has picked up a (erroneous?) spike in HR, and autodetect has reset your zones on the basis of this spike in HRMax.

I'd suggest look in Garmin Connect at your HR zones, resetting the HRMax and zones there, and letting this sync to your watch and the 1030+. This avoids having to restore defaults (which won't resolve the HR zones issue anyway).

There is also the option of setting up sport-specific HR zones for running and riding, whether you are recording on the 945 or Edge.

Let me expand on my situation. First, inside in my software I am set up to 'autodetect'. But autodetect is not working. When I finish my run I go looking for the screen where I can find my results. This screen always says the same thing: Training Status 'No Status'. I push the button. I get another error message: "Run outdoors with heart rate twice to see your status". Again. When I was just running and not biking my watch taught itself my heart rate zones. Now that I run and bike on the same watch I am recording 5% of my time in the slowest zone and 95% of my time in the next slowest zone.      

You can program multiple zones for different sports; for example, the highest I've gotten my heart rate on the bike is 180, the highest I can get running is 191. I'm also a much better runner than I am cyclist so I've got my zones customized to reflect this:

Run V Cycling

125 - 108

140 - 117

156 - 135

176 - 148

182 - 162

191 - 180

You can check your zones by going to menu user profile then go to heart rate. 

Let me go around again. When I go for a run I can see my heart rate gradually reaching up to the 150's and staying there for most of the time in my run. I return to my apartment. I sync. My page shows me in my slowest of 5 heart range zones (bar chart) about 5% of the time and in my next slowest heart range zone (bar chart) for about 95% of the time. My page never shows me spending time in the fastest or second fastest or third fastest zone! What in tarnation is a going on? 

Your heart rate zones are wrong.

If you hover the mouse pointer over the zones (Z1, Z2, etc.) in Garmin Connect Web and your activity, you will see what the limits are of your zones. Hopefully that will give you some insight into why Garmin thinks you are 95% in zone 2.

People have explained the issue.  Then you respond but without touching on the point of their response!   People are helping you with the issue of your zones and the main driver (max HR!) and then you respond regarding 150 bpm on a run being a low zone... ?!  ok... thats cuz your max is probably set by a optical HR error of 231bpm during a jog...  

STOP USING AUTODETECT MAX

Set HR Max to your maximum for running and then set your HR MAx for Biking based on observed all out efforts (if unsure, maybe add 5 bpm to your observed maximum)  Can find by viewing all activities, sort by max HR, look at each to see if that maximum was accurate, should be at the end of super hard interval workout or 5km race sprint finish.  Typically your max biking will be 5-10 lower than running unless you are an elite cyclist.

Sync watch. 

Go run

Problem Solved! I went back in time to when my heart rate zone profile was working without a hitch. I made careful notes of my heart rate zones. Then I entered correct values for my zones (took two try's) after clicking on the watch icon in the upper right hand corner of my Garmin Connect Web Page ('Device and Sync Status'). Best I can say for all of your comments. Your remarks are non sequitur's. Have a nice day!