I don't think you reinstalled properly based on your description. The model you have would not have come with a disc if it came with Lion pre-installed. It would if it came with a proprietary version of Snow Leopard. If it really is a 2011 model then it's a Mid-2011 model, not a 2011-2012. There is not such model as that.
So, if you have installer discs for the computer:
Clean Install of Snow Leopard
1. Boot the computer using the Snow Leopard Installer Disc or the Disc 1 that came
with your computer. Insert the disc into the optical drive and restart the computer.
After the chime press and hold down the "C" key. Release the key when you see
a small spinning gear appear below the dark gray Apple logo.
2. After the installer loads select your language and click on the Continue
button. When the menu bar appears select Disk Utility from the Utilities menu.
After DU loads select the hard drive entry from the left side list (mfgr.'s ID and drive
size.) Click on the Partition tab in the DU main window. Set the number of
partitions to one (1) from the Partitions drop down menu, click on Options button
and select GUID, click on OK, then set the format type to MacOS Extended
(Journaled, if supported), then click on the Apply button.
3. When the formatting has completed quit DU and return to the installer. Proceed
with the OS X installation and follow the directions included with the installer.
4. When the installation has completed your computer will Restart into the Setup
Assistant. After you finish Setup Assistant will complete the installation after which
you will be running a fresh install of OS X. You can now begin the update process
by opening Software Update and installing all recommended updates to bring your
installation current.
5. If you are planning to sell or give your computer away, then do the following:
After you reformat your hard drive and reinstall OS X, the computer restarts to a
Welcome screen and asks you to choose a country or region. If you want to leave
the Mac in an out-of-box state, don't continue with the setup of your system. Instead,
press Command-Q to shut down the Mac. When the new owner turns on the Mac,
the Setup Assistant will guide them through the setup process.
Download and install Mac OS X 10.6.8 Update Combo v1.1. If you want you can further upgrade it to Yosemite:
Download Yosemite from the App Store. Sign in using your Apple ID. Yosemite is free. The file is quite large, over 5 GBs, so allow some time to download. It would be preferable to use Ethernet because it is nearly four times faster than wireless.
OS X Mavericks/Yosemite- System Requirements
Macs that can be upgraded to OS X Yosemite
1. iMac (Mid 2007 or newer) - Model Identifier 7,1 or later
2. MacBook (Late 2008 Aluminum, or Early 2009 or newer) - Model Identifier 5,1 or later
3. MacBook Pro (Mid/Late 2007 or newer) - Model Identifier 3,1 or later
4. MacBook Air (Late 2008 or newer) - Model Identifier 2,1 or later
5. Mac mini (Early 2009 or newer) - Model Identifier 3,1 or later
6. Mac Pro (Early 2008 or newer) - Model Identifier 3,1 or later
7. Xserve (Early 2009) - Model Identifier 3,1 or later
To find the model identifier open System Profiler in the Utilities folder. It's displayed in the panel on the right.
Are my applications compatible?
See App Compatibility Table - RoaringApps.
