My sense is that the vast majority of the healthy population shouldn't get tested even if they might have the virus because the infrastructure doesn't support widespread testing (anywhere -- as far as I know). They should act as if they have the virus and stay home, rest, drink a lot of water, and take NSAIDs if the pain gets out of hand.
I've been sick since last week (much improved yesterday and today) and it could definitely be covid-19. But there's no point in trying to get tested. If I felt the symptoms were serious (significant difficulty breathing) then I'd go to an ER or call 911.
Also, 37.5 is a fairly low fever.