Windows – Forcing credentials when connecting to a network share

You need to specify the username to use. If you map the network drive in Explorer, there is a tick box for "Connect using different credentials". If using the NET USE command, add "/user:computer\user *". The asterisk prompt for the password.

Other things to try including checking for the firewall (ports 138 and 139 need to be opened). Is your laptop set to the 'Home' or 'Work' network location? You can open the Network and Sharing Center, click on the network connection in the center (it may say Public), and choose the new location there.

Edit based on OP's edits - You may need to enable and set Remote Access to be visible and turned on. If you are an administrator, you can try running a script such as posted below as an Administrator on the "server" PC - the laptop:

@echo off

netcfg.exe -c s -i MS_Server
netcfg.exe -c s -i MS_Pacer
netcfg.exe -c p -i MS_LLTDIO
netcfg.exe -c p -i MS_RSPNDR

netsh advfirewall firewall set rule group="windows management instrumentation (wmi)" new enable=yes
netsh advfirewall firewall set rule group="File and Printer Sharing" new enable=yes
netsh firewall set service remoteadmin enable
netsh advfirewall firewall set rule group="remote administration" new enable=yes

netsh advfirewall firewall add rule name="135TCP-In" dir=in action=allow protocol=TCP localport=135
netsh advfirewall firewall add rule name="135TCP-Out" dir=out action=allow protocol=TCP localport=135
netsh advfirewall firewall add rule name="135UDP-In" dir=in action=allow protocol=UDP localport=135
netsh advfirewall firewall add rule name="135UDP-Out" dir=out action=allow protocol=UDP localport=135

reg add HKLM\SOFTWARE\Microsoft\Windows\CurrentVersion\Policies\system /v LocalAccountTokenFilterPolicy /t REG_DWORD /d 1 /f

You have the same basic problem as the question you linked because you do not map multiple network shares but the same share twice. In your case Windows would identify H as the share and A and B merely as subfolders so it would not let you make multiple connections but reuse the first one (If you used net use to map the second one explicitely specifying a different user you would get the "The network folder specified is currently mapped using a different user name and password." message)

I never found a real way around this, but there is a workaround. Windows seems to be perfectly capable of doing the mapping technically but checks on the name. So if you use the IP address for one folder and the hostname for the other (or if you have the possibility to use aliases for multiple hostnames) it should work.