No worries. To get the propane running through the system if you have not used it for awhile, start up the burners on the stove. That always helps me get the propane running through the system. After turning them off, start the frig, it should start fine. I am careful with the propane, but I used to obsess about it. This stopped when, on my previous camper, the mechanic welded part of the weight distribution hitch almost immediately next to the propane tank. After that, I did not obsess as much.
You will find a lot of different opinions on running with propane. There are some areas (especially some tunnels) where running with propane is not allowed. Also, turning off the feed before refueling is always a good precaution.
Have fun! Traveling by yourself means you can go where you want and do whatever. I travel both with companions and by myself and both are good.