If you install the driver, it doesn't install the printer. You have to add the printer yourself. Go to system prefs, make sure your printer is connected, click the plus sign and add the printer. If it is a network printer try IP and HP jetdirect protocols and put in it's hostname (go to the printer itself and print out a network status page, find hostname or netbios), this will allow you to print even if it's net address changes. Type the whole hostname, including what comes after the dot (if nothing, you may want to check your router for a domain name to use inside the network and set one up; then print another status page and go). Once the host is resolved through DNS (make sure your router is set as a DNS in network preferences) the print system will attempt to detect your printer and choose a driver for you. If it doesn't find your driver for you, you can select it from the list on your own. Name the Queue, then click add. You may see error messages, just click okay and keep going. Open the print queue after you select it on the list, and go to the menubar at the top of your screen; open "Printer" menu and select Print Test Page. Watch the print queue to find out if it connects. If not, try another method of net-print.
Most USB printing shows up when you connect, but some do not. You may need to add the printer yourself much the same as from here. Wireless printers are the same as network, and make sure you select usb printers from the Default tab after pressing the + button.
Scanning really doesn't work over networking for most 1-2year old devices. Apple no longer supports the protocol that allowed it. You can open image capture to check for the device while connected, but no guarantees. If nothing else you can use an ftp send function on some printers to send the scan from the device to a folder on a given host. Check your network prefs, and find your computer name for each connection type you use. Then add your domain name after that, and use that as a host name on the network; go to your printer's webpage, check the ftp settings, put in the host name so IP won't matter, set up the path as: users\yourusername\folderpath where yourusername is the name of your home folder, and folderpath is the path eg Documents\scanfolder\ where each slash notes a new folder within the one to the left;
for username and password put your username from your computer and the password
and you now scan by using the printer to send it out to your scan folder. For port, use a standard ftp port like 21. so the hostname\ip is hostname.domain:21
Now you should have access to not only the folder from the scanner, but you should be able to just scan right to it from the scanner, even over wireless networking. Device upstairs you sit on couch downstairs, but need to scan; take document to device, send it from device, go to comp open the scan, no need to go back upstairs.
PS
SOL mean s*&t outta luck.