About the AppX packages, you can find details on the MS TechNet, which should help further in removing the Windows Apps (if i'm not wrong you also look after these?). Below is a code I'm using for this.
About setting IE11 as default browser, did you take a look here?
#powershell
$AppsList = "Microsoft.BingFinance","Microsoft.BingNews","Microsoft.BingWeather","Microsoft.XboxApp","Microsoft.MicrosoftSolitaireCollection","Microsoft.BingSports","Microsoft.ZuneMusic","Microsoft.ZuneVideo","Microsoft.Windows.Photos","Microsoft.People","Microsoft.MicrosoftOfficeHub","Microsoft.WindowsMaps","microsoft.windowscommunicationsapps","Microsoft.Getstarted","Microsoft.3DBuilder","Microsoft.Office.Sway"
ForEach ($App in $AppsList)
{
$PackageFullName = (Get-AppxPackage $App).PackageFullName
$ProPackageFullName = (Get-AppxProvisionedPackage -online | where {$_.Displayname -eq $App}).PackageName
write-host $PackageFullName
Write-Host $ProPackageFullName
if ($PackageFullName)
{
Write-Host "Removing Package: $App"
remove-AppxPackage -package $PackageFullName
}
else
{
Write-Host "Unable to find package: $App"
}
if ($ProPackageFullName)
{
Write-Host "Removing Provisioned Package: $ProPackageFullName"
Remove-AppxProvisionedPackage -online -packagename $ProPackageFullName
}
else
{
Write-Host "Unable to find provisioned package: $App"
}
}
Hope this takes you close to what you're after?
-BBC