Fix registration issues and implement PostgreSQL database for persistent storage.

Replit-Commit-Author: Agent
Replit-Commit-Session-Id: 705f2157-ef97-4fbd-89e4-8c7f2ecaea90
Replit-Commit-Screenshot-Url: https://storage.googleapis.com/screenshot-production-us-central1/7ed01c5f-a82d-405a-b728-b2e3d127c60c/161c3a9f-0168-4125-bae3-1975632f0e7f.jpg

client/src/pages/auth-page.tsx

@@ -140,6 +140,7 @@ export default function AuthPage() {
       email: "",
       fullName: "",
       acceptTerms: false,
+      role: "user",
     },
   });
 
@@ -298,6 +299,7 @@ export default function AuthPage() {
                               <Input 
                                 placeholder="Enter your full name" 
                                 {...field} 
+                                value={field.value || ""}
                                 disabled={registerMutation.isPending}
                               />
                             </FormControl>
@@ -317,6 +319,7 @@ export default function AuthPage() {
                                 type="email" 
                                 placeholder="Enter your email" 
                                 {...field} 
+                                value={field.value || ""}
                                 disabled={registerMutation.isPending}
                               />
                             </FormControl>