Will this work with the Sizzix Switch Plus?

Yes it will work with other plates as long as they are the same size.

How thick is the base platform for the Big Kick?

I don't know how thick the base platform measures but you could go to Sizzix's website and get that kind of information.

I have a old one that is red need cutting pad for it ?

Yes, you need to use two cutting pads to make your "sandwich", with the die and the material you are cutting in between the two.

What is the dimensions of the Sizzix big shot platform standard

To die-cut or emboss one layer of thin material using thinner Sizzix products (Clearlits, DecoEtch, DecoEmboss, Embosslits, Ink-its, Sizzlits, Simple Impressions, Texture Fades, Texture Trades and Textured Impressions), the Multipurpose Platform (Platform base plus Tab 1) is required along with Cutting Pads. To emboss one layer of thin material using Texturz Texture Plates, the Multipurpose Platform (Platform base plus Tab 1) is required along with an Impressions Pad and Silicone Rubber.To emboss one layer of thick material (or a folded card) using thinner Sizzix products (Texture Fades, Texture Trades and Textured Impressions), the Multipurpose Platform (Platform base only, no tabs) is required along with Cutting Pads. To emboss one layer of thick material using Texturz Texture Plates, the Multipurpose Platform (Platform base only, no tabs) is required along with an Impressions Pad and Silicone Rubber. The diagrams on the Multipurpose Platform and its tabs offer easy guidelines about how to make the perfect Sizzix sandwich.Use of the platform base plus Tabs 1 and 2 of the 11 1/2" x 7" x 3/4" Multipurpose Platform along with Cutting Pads are required to create a sandwich for accommodating Framelits and Thinlits as well as competitors' wafer-thin dies.