Is it normal to archive the first few requests?

I'd strongly suggest you stick to your thought out criteria and not accept any dogs that aren't a match. I've had conversations with Rover support about declining requests that do not match criteria stated in my profile. Their guidance is that's okay, never accept a stay that isn't a match, and not to stress if accepting a relatively low number of contacts (so long as you've indicated the criteria in your profile and keep your calendar up to date). They prefer to see a high repeat guest rate - keeping dogs happy & returning.

I saw you have a couple reviews. It might help if you could also add photos of those dogs and add testimonials. Also, if you haven't already, you may want to read how others have increased visibility (beyond waiting for someone to search on Rover) to gain clients (i.e. distributing business cards, etc.).