Hi Rachel,
My door cards were badly water damaged before I restored them so I fitted a plastic membrane behind them. I also hardened the new millboard I used with wood hardener solution and waterproofed it with candle wax using a hot air gun. Belt and two pairs of braces!!.
You probably know that originally a felt underlay was installed under the carpet. Mine was badly damaged so I replaced it with a similar felt but I know some other restorers have used modern adhesive sound proofing materials. These were rather too expensive for my budget.
I now wish I had been able to afford better soundproofing. Since fitting polyurethane bushes to the suspension the road noise has increased significantly - a point to consider before going down the PU route. There may be alternative softer grades of PU, I don't know. For reference, I used Superflex brand bushes.
Andy