It looks like you don't understand the ListView.
Your problem is that ListView.Items does not take two parameters. Nor does a ListViewItem have a Value property. It looks like you're mixing VB6 and VB.NET.
To begin with, you said your question title said you needed help with getting CheckedItems. But your code doesn't deal with that at all. Then, there's the problems with your code that I've already said.
If you want to deal with CheckedItems only, the ListView has a CheckedItems collection.
You can simply do:
For Each item As ListViewItem In ListView1.CheckedItems
Next
Then, to access different columns, you want to access the SubItems of each item. But remember that the first column is SubItem(0). If you want what is displayed, you want
item.SubItem(0).Text
There are other properties that can be very useful to set with a ListViewItem such as the Tag property which can be any Object or the Name property.
First, though, actually look at the ListView class next time and the ListViewItem class to see how to use them.