Using Laplink. I've never used it, but does that mean just the drawing files or the programs / settings as well.
Are you using RedSDK mode or GDI mode - possibly with the lightworks plug-in (Options menu - native draw). I only ask as it sounds like a may be graphic driver problem (which may affect RedSDK mode more than GDI).
If using GDI Mode. If Torfinn's suggestion does not cure the problem, you could try deleting the built-in folder, instructions here
. because if you 'moved everything' instead of installing. I'm guessing its possible the .ini files etc. may need to be re-built. (TC will do that itself once the built in folder is deleted).
If using RedSDK mode. As well as the above. Does the computer have onboard graphics and a separate card. If so, check what graphic TC is using. Options - Native draw - click button 'Show video system info'.
If noting works. a couple of options. Assuming you still have the original serial number / activation code. Download the latest full build from here
. and follow the 'clean install' instructions from the link above. Or. look at the graphics driver, see if there are any updates on the computer makers website, or the graphics card maker.