@Kelownagurl … Hi Barbara. Here’s what I know after double checking with product team:
One ribbon = Basic Verification: Phone, Email and References
Two ribbons = Standard Verification - ID check (document verification)
Your icon as you correctly identified = Criminal Background Check
No icon = no checks yet completed
As @Twitcher confirmed, stars are house sit reviews completed on TrustedHousesitters site, whereas asterisks are externally requested and uploaded references. (And it’s a good point regarding the similarity which we will feedback again).
The premium badge is only shown on the sitter or owner profile and not on the first search screens (i.e. cannot be seen on the screenshot you have attached).
However… following feedback from members, all of this is currently under review by the product team, who are looking at updating the icons to make them more obvious. We will of course let everyone know what happens as soon as any changes are made.
Hope that helps in the meantime, and here’s wishing you a lovely day ahead