Issue adding Sqlite reference within a PCL and is there an alternative ORM library?

I've just created an iOS project and can see that I can select Mono.Data.Sqlite from the list of packages, however, I wanted to put some data access code inside a portable class library that I could reference from an iOS and Android project.

When I create the portable class library, I set it to .NET 4.5+ and note that it adds a lot of libraries under '.NET portable subset' but Mono.Data.Sqlite is not one of them. Under the list of packages nothing is shown.

Is it not possible to reference Mono.Data.Sqlite from a PCL?

Why is the list of packages empty?

What's the recommended approach for adding a common data access project?

I intended to use Sqlite, but is there a small ORM wrapper or library that you can recommend?

Many thanks, Rob.