IP address is 192.168.0.230. Default gateway is blank. DHCP is using 192.168.0.1 and autoconfig is not enabled.
Marc, that's nonsense. it couldn't possibly work with that configuration. Either you have read or written it down incorrectly or it explains why nothing works!
I strongly recommend that you get your work IT people to sort it out for you (it is a work laptop, isn't it?).
They should have access to a broadband internet connection (independent of the main company internet connection) that they could test your laptop on.
The only thing you have control over is the IP address range of your home network - that is the private address space (192.168.X.X) used by the laptop, desktop and router to communicate between themselves.
The AOL router (Netgear?) will have a Public IP address assigned to it by AOL. This is probably dynamic and you have no control over it.
Any communication (packet) from your desktop or laptop must pass through the router (default gateway) where it is NATed (Network Address Translation) to use the AOL-assigned Public IP address to traverse the public internet. Private IP addresses (e.g. 192.168.X.X) CANNOT traverse the public internet.
The fact that you are using an SSL tunnel creates the situation where the packets from your PC seem to arrive at the Sonic Wall concentrator at work with your home IP network address due to the encryption and encapsulation.
If your work people advise you to change your private home network, do you understand how to do this?
The simplest thing is to set your home router internal address to 192.168.X.1, and to assign IP addresses in the range 192.168.X.2-5 (assuming 4 devices - if more expand the range), where X is a different number to your work internal range). RTFM
Then configure your laptop and desktop to obtain IP addresses and DNS via DHCP.
The internal address of the router will be 192.168.X.1, the clients will be allocated say 192.168.X.2 and 192.168.X.3, the default gateway for the clients is 192.168.X.1 and the subnet mask for all devices is 255.255.255.0.
The DNS entries should automatically be provided by the router (picked up from AOL), or else the router will act as a DNS forwarder and the clients will use the 192.168.X.1 address for DNS also.
All this is pretty basic stuff, and will be covered in your router help and Windows Network Connections.
If your work use fixed addresses (must be very small if so!!), leave the laptop as DHCP and just set up an alternate fixed address for work which will be used whenever it can't contact a DHCP server.
SD