Slice tools are generally used in webdesign. Slicing your image in pieces is practically making buttons, headers etc. for your HTML website. After slicing it's important to Save for Web&Devices.
the slice tool in portable editions of PSD does not work
You must slice image or to create slice from layer. Slice tool is grouped with Crop tool in toolbox.
Photoshop have Horizontal Type Tool and Horizontal Type Mask Tool which you can use to type text in Photoshop.
First slice your page in Photoshop using Slice tool then save from Save for Web & Devices dialog. Import slices into Dreamweaver.
You can use the pen tool, quick selection tool and lasso.
You would use the marker/pen/brush tool, or the paint bucket tool.
Photoshop Lightroom does not have such a tool. Anyway you can use external editing software like Photoshop or Photoshop Elements. See related links for more details.
Use the croping tool.
It is question for Photoshop and Illustrator developers, which tool is from which app but Illustrator have Photoshop raster filters, that's for sure.
define the slice tool in illustrator
Adobe Photoshop
There isn't drag tool in any Photoshop version. To move things around you can use Move Tool or Path and Direct Selection tools to move paths and shapes.